The primary goal is the development of a microscopic theory of nuclear collective phenomena aimed at understanding nuclear collective dynamics in terms of interacting neutrons and protons. This goal was identified during 2 1/2 years of graduate studies in Sir Denys Wilkinson’s Department at Oxford and a year with Aage Bohr and Ben Mottelson at the Niels Bohr Institute in Copenhagen. A program of research with the above objectives in mind was formulated during three years with Tony Lane in the Theoretical Physics Division at Harwell. The perspective of nuclear physics acquired during these years was presented in a series of lectures at an International Winter School at Trieste in 1966 and subsequently in a book on Nuclear Collective Motion. The following paragraphs outline primary avenues of research that have proved profitable.

An advance came with the discovery that the prevailing many-body theories of equilibrium states and elementary excitations could be expressed succinctly in a so-called equations-of-motion formalism. This formalism embraces Hartree-Fock mean field theory, the BCS quasi-particle approximation and the Random -Phase Approximation within a simple common framework that can be extended and applied more generally. Thus, it provides succinct expressions of standard many-body theories and the means to go beyond them. 

A second successful approach, known as a theory of large-amplitude collective motion, was initiated with a graduate student Rick Basserman and subsequently pursued by many others. The theory was based on the observation that a submanifold of coherent states of a many-particle Hilbert space not only spans the Hilbert space but also has the properties of a classical phase space. Thus, coherent states provide a link between classical and quantum mechanics which make it possible to reduce a complex many-body quantal system to a more conceptually accessible classical system, extract a maximally decoupled collective subdynamics, and requantize. With such objectives in mind, techniques were developed to determine the valleys, fall lines and ridges of an arbitrary Riemannian manifold and, hence, distinguish the fast and slow degrees of freedom of a complex system. Such methods have potential applications to systems (e.g. atmospheric physics) for which it is desired to reduce the complexity of the dynamics by averaging over the fast degrees of freedom. The close relationship between classical and quantal mechanics defined by coherent state submanifolds has subsequently been explored in some depth in collaboration with students and associates (Rosensteel, Ryman, Vassanji, Bartlett) and used to construct explicit maps from one to the other. Thus, for example, it has been possible to resolve the ambiguity in Dirac’s canonical quantization procedure.

A breakthrough in the formulation of a microscopic theory of nuclear collective dynamics came in collaboration with a graduate student (now colleague) George Rosensteel. The breakthrough was the formulation of a powerful strategy for constructing a microscopic theory of some observed physical phenomena. The strategy is to start with a phenomenological model of what is observed and proceed to develop an algebraic expression of the model in terms of a Lie algebra of observables that has a microscopic realization in terms of the coordinates and momenta of the particles of the system. It then remains to identify the relevant irreducible representations of this algebra (known as a spectrum generating algebra) to obtain a microscopic version of the model. In pursuing this strategy, it is frequently necessary to adjust a phenomenological model so that its algebraic structure becomes compatible with that of the microscopic system it represents. For example, it was found necessary to add vorticity degrees of freedom to the Bohr-Mottelson hydrodynamic model. The rewards of doing this are enormous. First a more realistic version of the model is achieved and, second, it becomes possible to realize the model as the restriction of the full many-body quantum system to a specified subdynamics. The parameters of the model can then be predicted from first principles, and the conditions under which the model is expected to be valid identified. Moreover, because the model wave functions become expressible as functions of particle coordinates, it becomes possible to explore their properties with the full arsenal of many-body observables. An application of this strategy quickly yielded a microscopic version of the Bohr-Motttelson collective model known as the symplectic or Sp(3,R) model. Major development of this theory have been made by my students and associates (Rosensteel,Carvalho, Vassanji, Rochford, Bahri).  Major developments have also been made by J.P. Draayer and his students and colleagues.

The preceding paragraph shows that the first essential step towards giving a phenomenological model a microscopic foundation is to express the model in algebraic terms. This first step already enables the powerful tools of Lie group and Lie algebra theory to be utilized in the quantization of the model by construction of the unitary irreducible representations of its spectrum generating algebra. Moreover, it is widely applicable because almost all nuclear models can be expressed as algebraic models.  Expressing the Bohr model as an algebraic collective model proved to be particularly valuable because it showed that Bohr model Hamiltonians could be expressed analytically in terms of SO(5)-reduced matrix elements and Clebsch-Gordan coefficients which made Bohr model calculations very simple to execute.

Making effective use of the algebraic structure of a model requires a systemic way of constructing its unitary representations. An investigation of the possibilities, led to a formulation of a vector coherent state theory of such representations. The theory is a practical version of the mathematical theory of induced representations that incorporates all the standard inducing constructions in a way that is physically intuitive and is readily adapted to physical systems of interest. My students and colleagues (Le Blanc, Hecht, Repka, Turner) have used VCS theory to construct representations of numerous Lie groups, Lie algebras and Lie superalgebras, as well as the representations of algebraic models. VCS theory has become arguably the most powerful tool available for the construction of group and Lie algebra representations. It is extraordinarily versatile and new uses continue to be found for it. For example, it has been used to compute the vector coupling coefficients of various Lie groups (with Bahri) and to extend the theory of geometric quantization (with Bartlett and Repka). In particular, coherent states and vector coherent states are shown to provide the interface between classical and quantum mechanics. Other areas of mathematical physics, besides those mentioned under other headings, have and continue to be explored with my associates (Rosensteel, de Guise, Repka, Carvalho, Welsh).  In particular, we are currently exploring the mathematical structure and numerous applications of so-called dual pairs of group representations that intertwine the representations of dynamical groups a symmetry groups in numerous nuclear physics situations.

A major challenge in understanding the microscopic structure of nuclear collective states, is to come to terms with the effects of competing dynamical symmetries: one associated with long-range spatial correlations and another with short-range pair-coupling of nucleons. Both symmetry types dominate in different regions of the nuclear periodic table. The long-range correlations are understood to favour deformed equilibrium configurations of nuclei and give rise to rotational bands, whereas the short-range correlations favour spherical equilibrium configurations and nuclear superconductivity effects. My students, associates (Turner, de Guise, Rosensteel) and I have followed the strategy of first investigating the shell model coupling schemes associated with each symmetry type separately and then exploring what happens when the different symmetries are in competition.

By investigating model systems in which different dynamical symmetries are in competition, we (Rochford, Repka, Bahri, and I) were led to the discovery of an interesting and potentially powerful concept of quasi-dynamical symmetry. Loosely speaking, a system is said to have a dynamical symmetry if the Hamiltonian for the system leaves the subspaces of the Hilbert spaces of the system, that carry irreducible representations of a dynamical subgroup, invariant. The states are then described by algebraic models having spectrum generating algebras which are the Lie algebras of the corresponding dynamical groups. However, it turns out that the converse is not generally true. A subset of states of a physical system in which there are strong symmetry-breaking interactions can often be described very accurately by an algebraic model in which the symmetry is preserved. We have learned that symmetry-breaking interactions frequently mix different representations of a dynamical symmetry in a highly coherent manner that creates the illusion that the symmetry is preserved. The system is then said to have a quasi-dynamical symmetry. We have observed this phenomenon in a wide range of systems particularly systems with competing dynamical symmetries that exhibit Landau second order phase transitions. In qualitative pictorial terms, the effect of a symmetry-breaking interaction is primarily to distort the symmetry rather than break it. With increase of a symmetry-breaking interaction, the symmetry is distorted more and more until it reaches a breaking point. The symmetry then really starts to break up and the system enters a transition region from which it may emerge with the quasi-dynamical symmetry of a competing phase.

The intriguing journey in pursuit of a microscopic theory of nuclear collective dynamics has followed a path through most of nuclear physics, other areas of physics (e.g., phase transitions, molecular physics, and quantum optics), and some interesting mathematics. Many discoveries and advances have taken place since I embarked on this journey and nuclear physics, in particular, is now in a much more advanced state. Thus, a colleague (John Wood) and I are preparing a two-volume book on "The Fundamentals of Nuclear Models" that will summarize the current state of nuclear structure physics and the experimental and mathematical foundations for the models used to understand it. Hopefully, this text will provide a succinct summary and resource for nuclear physicists wishing to take their subject to the next stage of development and assist researchers in other fields to make use of the methods that have worked so well for one many-body system.

The publications listed below include recent papers that can be downloaded and a few selected earlier papers. “CV/#” refers to the document as listed in PDF Curriculum Vitae.

Equations of Motion Formalism  —  back to top

“Schematic Interactions for Nuclear Random Phase Approximation Calculations”, D.J. Rowe, Phys. Rev. 162, 866-871 (1967). CV/10  pdf

“The Equations-of-Motion Method and the Extended Shell Model”, D.J. Rowe, Rev. Mod. Phys. 40, 153-166 (1968). CV/12  pdf

“Methods for calculating ground-state correlations of vibrational nuclei”, D.J. Rowe, Phys. Rev. 175, 1283-1292 (1968). CV/14  pdf

“The Open-Shell Random-Phase Approximation and the Negative Parity Excitations of 12-C”, D.J. Rowe and S.S.M. Wong, Nucl. Phys. A153, 561-585 (1970). CV/21  pdf

“Tensor Equations of Motion for the Excitations of Rotationally Invariant or Charge-Independent Systems”, D.J. Rowe and C. Ngo-Trong, Rev. Mod. Phys. 47, 471-485 (1975). CV/35  pdf

“The Tensor Open-Shell Random Phase Approximation with Application to the Even Nickel Isotopes”, C. Ngo-Trong, T. Suzuki and D.J. Rowe, Nucl. Phys. A313, 15-44 (1979). CV/56  pdf

"An equations-of-motion approach to quantum mechanics: application to a model phase transition", S.Y. Ho, G. Rosensteel, and D.J. Rowe, Phys. Rev. Lett. 98, 080401(1-4) 2007. CV/184  pdf

Large Amplitude Collective Motion, Coherent States,
Classical & Quantum Mechanics  —  back to top

“Coherent State Theory of Large Amplitude Collective Motion”, D.J. Rowe and R. Basserman, Can. J. Phys. 54, 1941-1968 (1976). CV/40  pdf

“Many-Body Quantum Mechanics as a Symplectic Dynamical System”, D.J. Rowe A.G. Ryman and G. Rosensteel , Phys. Rev. A22, 2362-2373 (1980). CV/64  pdf

“Nondeterminantal Hartree-Fock theory”, G. Rosensteel and D.J. Rowe, Phys. Rev. A 24, 673-679 (1981). CV/68 pdf

“Valleys and Fall Lines on a Riemannian Manifold”, D.J. Rowe and A. Ryman, J. Math. Phys. 23, 732-735 (1982). CV/70  pdf

"Constrained Quantum Mechanics and a Coordinate Independent Theory of the Collective Path'', D.J. Rowe, Nucl. Phys. A 391, 307-326 (1982). CV/73  pdf

"Density Dynamics: a Generalization of Hartree-Fock Theory'', D.J. Rowe, M. Vassanji and G. Rosensteel, Phys. Rev. A 28, 1951-1956 (1983). CV/77 pdf

“Classical Dynamics as Constrained Quantum Dynamics”, S.D. Bartlett and D.J. Rowe, J. of Phys. A: Math. Gen. 36, 1683-1704 (2003). CV/165 pdf

Microscopic Theory of Nuclear Collective Dynamics  —  back to top

“Collective Motion in Nuclei and the Spectrum Generating Algebras T5xSO(3), GL(3,R) and CM(3)”,
P. Gulshani and D.J. Rowe, Can. J. Phys. 54, 970-996 (1976). CV/39  pdf

“Nuclear Sp(3,R) Model”, G. Rosensteel and D.J. Rowe, Phys. Rev. Lett. 38, 10-14 (1977). CV/43  pdf

“Geometric Derivation of the Kinetic Energy in Collective Models”, D.J. Rowe and G. Rosensteel,
J. Math. Phys. 20, 465-468 (1979). CV/57  pdf

“On the Algebraic Formulation of Collective Models II: Collective and Intrinsic Submanifolds”,
D.J. Rowe and G. Rosensteel, Annals of Phys. 126, 198-233 (1980). CV/61  pdf

“On the Algebraic Formulation of Collective Models III: the Symplectic Shell Model of Collective Motion”, G. Rosensteel and D.J. Rowe, Annals of Phys. 126, 343-370 (1980). CV/62  pdf

“The u(3)-boson Model of Nuclear Collective Motion”, G. Rosensteel and D.J. Rowe, Phys. Rev. Lett. 47, 223-226 (1981). CV/69  pdf

“The Shell-Model Theory of Nuclear Rotational States”, P. Park, J. Carvalho, M. Vassanji, D.J. Rowe and G. Rosensteel, Nucl. Phys. A414, 93-112 (1984). CV/81  pdf

“The Geometric SO(3)xD Model: a Practical Microscopic Theory of Quadrupole Collective Motion”,
M. Vassanji and D.J. Rowe, Nucl. Phys. A426, 205-221 (1984). CV/85  pdf

“Microscopic Theory of the Nuclear Collective Model”, D.J. Rowe, Rep. Prog. Phys. 48, 1419-1480 (1985). CV/92  pdf

“The Symplectic Shell-Model Theory of Collective States”, J. Carvalho, R. Le Blanc, M. Vassanji, D.J. Rowe and J. McGrory, Nucl. Phys. A452, 240-262 (1986). CV/94  pdf

“Electron Scattering in the Microscopic Sp(3,R) Model”, M. Vassanji and D.J. Rowe, Nucl. Phys. A454, 288-300 (1986). CV/96  pdf

“Transverse Form Factors in the Collective and Symplectic Models”, M.G. Vassanji and D.J. Rowe, Nucl. Phys. A 618 (1997) 65-86. CV/143  pdf

“Optimal Basis States for a Microscopic Calculation of Intrinsic Vibrational Wave Functions of Deformed Rotational Nuclei”, M.J. Carvalho, D.J. Rowe, S. Karram, and C. Bahri, Nucl. Phys. A703, 167-187 (2002). CV/160  pdf

Collective Models as Algebraic Models  —  back to top

“How Do Deformed Nuclei Rotate?”, D.J. Rowe, Nucl. Phys. 152, 273-294 (1970). CV/20  pdf

“Sum Rule for the Current Density and Nuclear Hydrodynamic Models”, T. Suzuki and D.J. Rowe,  Nucl. Phys. A286, 307-321 (1977). CV/44  pdf

“Group Theoretical Models of Giant Resonance Splittings in Deformed Nuclei”, D.J. Rowe and F. Iachello, Phys. Lett. B130, 231-234 (1983). CV/78  pdf

“Dynamical Symmetries of Nuclear Collective Models”, D.J. Rowe, Prog. in Part and Nucl. Phys. 37, 265 (1996). CV/141 pdf

“Transverse Form Factors in the Collective and Symplectic Models”, M.J. Carvalho and D.J. Rowe,  Nucl. Phys. A618, 65-86 (1997). CV/143  pdf

“An Algebraic Representation of the Particle-plus-Rotor Model”, H. de Guise and D.J. Rowe, Nucl. Phys. A 636 (1998) 47-69. CV/147  pdf

“Rotation-VibratIonal Spectra of Diatomic Molecules and Nuclei with Davidson Interactions”, D.J. Rowe and C. Bahri, J. Phys. A31, 4947-4961 (1998). CV/148  pdf

“A Computationally Tractable Version of the Collective Model”, D.J. Rowe, Nucl. Phys. A 735, 372-392 (2004).  CV/167. pdf

"Spherical harmonics and basic Clebsch-Gordan coefficients for the group SO(5) in an SO(3)
basis", D.J. Rowe, P.S. Turner, and J. Repka, J. Math. Phys. 45, 2761-84 (2004). CV/169   pdf

“The algebraic collective model”, D.J. Rowe and P.S. Turner, Nucl. Phys. A 753, 94-105 (2005).  CV/173.  pdf

“On the many relationships between the IBM and Bohr model”, D.J. Rowe and G. Thiamova, Nucl. Phys. A 760, 59-81 (2005).   CV/176  pdf

"An algebraic approach to problems with polynomial Hamiltonians on Euclidean spaces", D.J. Rowe, J. Phys. A: Math. Gen. 38, 10181-10201 (2005).    CV/178  pdf

"Construction of SO(5) spherical harmonics and Clebsch-Gordan coefficients",  M.A. Caprio, D.J. Rowe and T.A. Welsh, Compt. Phys. Commun., 180, 1150-1163 (2009).   CV/188  pdf

"Bohr model as an algebraic collective model",  D.J. Rowe, T.A. Welsh and M.A. Caprio, Phys. Rev. C 79, 054304(1-16) (2009).   CV/189  pdf

Vector Coherent State Theory and other Mathematical Physics  —  back to top

“Coherent State Theory of the Non-Compact Symplectic Group”, D.J. Rowe, J. Math. Phys. 25, 2662-2671 (1984). CV/84  pdf

“Vector Coherent State Representation Theory”, D.J. Rowe, G. Rosensteel and R. Gilmore, J. Math. Phys. 26, 2787-2791 (1985). CV/87 pdf

“Unitary Representations, Branching Rules and Matrix Elements for the Non-Compact Symplectic Groups”, D.J. Rowe, B.G. Wybourne and P.H. Butler, J. Phys. A: Math. Gen. 18, 939-953 (1985). CV/90  pdf

“Decomposition of the SO*(8) Enveloping Algebra under U(4) > U(3)”, R. Le Blanc and D.J. Rowe, J. Math. Phys. 28, 1231-1236 (1987). CV/103  pdf

“Heisenberg-Weyl Algebras of Symmetric and Anti-Symmetric Bosons”, R. Le Blanc and D.J. Rowe, J. Phys. A: Math. Gen. 20, L681-687 (1989). CV/105  pdf

“Vector Coherent State Theory and its Applications to the Orthogonal Groups”, D.J. Rowe, R. Le Blanc and K.T. Hecht, J. Math. Phys. 29, 287-304 (1987). CV/107 pdf

“The Matrix Representations of g_2: I. Representations in an SO(4) basis”, R. Le Blanc and D.J. Rowe, J. Math. Phys. 29, 758-766 (1988). CV/109 pdf

“The Matrix Representations of g_2: II. Representations in an SU(3) basis”, R. Le Blanc and D.J. Rowe, J. Math. Phys. 29, 767-776 (1988). CV/110 pdf

“Highest Weight Representations for gl(m/n) and gl(m+n)”, R. Le Blanc and D.J. Rowe, J. Math. Phys. 30, 1415-1432 (1989). CV/115 pdf

“A Rotor Expansion of the su(3) Lie Algebra”, D.J. Rowe, R. Le Blanc and J. Repka, J. Phys. A: Math. Gen. 22, L309-316 (1989). CV/116 pdf

“The Coupled-Rotor-Vibrator Model”, D.J. Rowe, M. Vassanji and J. Carvalho, Nucl. Phys. A504, 76-102 (1989). CV/117  pdf

“Superfield and Matrix Realizations of Highest Weight Representations for osp(m/2n)”, R. Le Blanc and D.J. Rowe, J. Math. Phys. 31, 14-36 (1990). CV/118 pdf

“Vector-Coherent-State Theory as a Theory of Induced Representations”, D.J. Rowe and J. Repka, J. Math. Phys. 32, 2614-2634 (1991).  CV/125  pdf

“Resolution of Missing Label Problems; a New Perspective on K-Matrix Theory”, D.J. Rowe, J. Math. Phy. 36, 1520-30 (1995). CV/136 pdf

“Induced Shift Tensors in Vector Coherent State Theory”, D.J. Rowe and J. Repka, J. Math. Phys. 36, 2008-29 (1995). CV/137 pdf

“Representation of the Fve-Dimensional Harmonic Oscillator with Scalar-Valued U(5) > SO(5) > SO(3)-Coupled VCS Wave Functions”, D.J. Rowe and K.T. Hecht, J. Math. Phys. 36, 4711-34 (1995). CV/139 pdf

“Asymptotic Clebsch-Gordan Coefficients”, H. de Guise and D.J. Rowe, J. Math. Phys. 36 (1995) 6991-7008. CV/140 pdf

“The Racah-Wigner Algebra and Coherent Tensors”, D.J. Rowe and J. Repka, J. Math. Phys. 37 (1996) 2498-2510. CV/142  pdf

“The Representations and Coupling Coefficients of su(n); Application to su(4)”, D.J. Rowe and J. Repka, J. Foundations of Physics 27, (1997) 1179-1209. CV/145  pdf

“Clebsch-Gordan Coefficients in the Asymptotic Limit”, H. de Guise and D.J. Rowe, J. Math. Phys. 39 (1998) 1087-1106. CV/146  pdf

“Branching Rules for Restriction of the Weil Representations of Sp(n,R) to its Maximal Parabolic Subgroup CM(n)”, D.J. Rowe and J. Repka, J. Math. Phys. 39, 6214-24 (1998). CV/151  pdf

“Representations of the Weyl Group and Wigner Functions for SU(3)”, D.J. Rowe, B.C. Sanders and H. de Guise, J. Math. Phys. 40, 3604-3615 (1999). CV/152  pdf

“Vector Phase Measurement in Multipath Quantum Interferometry, B.C. Sanders, H. de Guise, D.J. Rowe and A. Mann, J. Phys. A: Math. Gen. 32 (1999) 7791-7801. CV/153 pdf

“Angular-momentum Projection of Rotational Model Wave Functions”, D.J. Rowe, S. Bartlett, and C. Bahri, Phys. Lett. B472, 227-231 (2000). CV/155 pdf

“Clebsch-Gordan Coefficients of SU(3) in SU(2) and SO(3) bases”, D.J. Rowe and C. Bahri, J. Math. Phys. 41 (2000) 6544-6565. CV/156 pdf

“Asymptotic Limits of SU(2) and SU(3) Wigner Functions”, D.J. Rowe, H. De Guise, and B.C. Sanders, J. Math. Phys. 42 (2001) 2315-2342. CV/157 pdf

“VCS Representations, Induced Representations, and Geometric Quantization: I. Scalar Coherent State Representations”, S.D. Bartlett, D.J. Rowe, and J. Repka, J. of Phys. A: Math. Gen. 35, 5599-624 (2002). CV/161 pdf

“VCS representations, Induced Representations, and Geometric Quantization: II. Vector Coherent State Representations”, S.D. Bartlett, D.J. Rowe, and J. Repka, J. of Phys. A: Math. Gen. 35, 5625-51 (2002). CV/162 pdf

“Coherent State Triplets and their Inner Products”, D.J. Rowe and J. Repka, J. Math. Phys. 43, (2002) 5400-38. CV/163 pdf

“Efficient Sharing of a Continuous Quantum Secret”, T. Tyc, D.J. Rowe and B.C. Sanders, J. of Phys. A: Math. & Gen. 36, 7625-37 (2003). CV/166 pdf

“Programs for generating Clebsch-Gordan coefficients of SU(3) in SU(2) and SO(3) bases”,  C. Bahri, D.J. Rowe, and J.P. Draayer, Compt. Phys. Commun. 159, 121-143 (2004). CV/168 pdf

“Spherical harmonics and basic Clebsch-Gordan coefficients for the group SO(5) in an SO(3) basis”,  D.J. Rowe, P.S. Turner, and J. Repka, J. Math. Phys. 45, 2761-84 (2004). CV/169 pdf

“Vector coherent theory of the generic representations of so(5) in an so(3) basis”,  P.S. Turner,  D.J. Rowe, and J. Repka, J. Math. Phys.  47, 023507(1-25) (2006). CV/179  pdf

Shell Model and Coupling Schemes  —  back to top

“A Perturbative Analysis of Linked and Unlinked Two-Body Effective Interactions Obtained from large Matrix Diagonalizations,” N. Lo Iudice, D.J. Rowe and S.S.M. Wong, Nucl. Phys. A 297, 35-44 (1978). CV/54 pdf

“A Unified Pair-Coupling Theory of Fermion Systems,” D.J. Rowe, T. Song and H. Chen, Phys. Rev. C44, R598-601 (1991). CV/124 pdf

“The Role of Spin in the Strong Coupling of a Rotor and Single Particle”, H. de Guise, D.J. Rowe and R. Okamoto, Nucl. Phys. A 575 (1994) 46-60. CV/133 pdf

“The Pair Coupling Model”, H. Chen, T. Song and D.J. Rowe, Nucl. Phys. A582, 181-204 (1995). CV/135 pdf

“Restoration of Particle Number as a Good Quantum Number in BCS Theory”, D.J. Rowe, Nucl. Phys. A691, 691-709 (2001). CV/158 pdf

“Partially Solvable Pair-Coupling Models with Seniority-Conserving Interactions”, D.J. Rowe and G. Rosensteel, Phys. Rev. Lett. 87, 172501 1-4 (2001). CV/159 pdf

“Seniority-Conserving Forces and USp(2j+1) Partial Dynamical Symmetry”, G. Rosensteel and D.J. Rowe, Phys. Rev. C67, 014303 (2003). CV/164 pdf

“Implications of shape coexistence for the nuclear shell model”, D.J. Rowe, G. Thiamova,  and
J.L. Wood, Phys. Rev. Lett. 97, 202501(1-4) (2006). CV/182 pdf

“Duality relationships and supermultiplet symmetry in the O(8) pair-coupling model”, D.J. Rowe and M.J. Carvalho, J. Phys. A: Math. Theor. 40, 471-500 (2007). CV/183 pdf

Quasi-Dynamical Symmetry and Phase Transitions  —  back to top

“Dynamic Structure and Embedded Representations in Physics: the Group Theory of the Adiabatic Approximation”, D.J. Rowe, P. Rochford and J. Repka, J. Math. Phys. 29, 572-577 (1988). CV/108 pdf

“The Survival of SU(3) Bands under Strong Spin-Orbit Symmetry Mixing”, P. Rochford and D.J. Rowe, Phys. Lett. B210, 5-9 (1988). CV/111  pdf

“Model of a Superconducting Phase Transition”, H. Chen, J. Brownstein and D.J. Rowe, Phys. Rev. C42, 1422-31 (1990). CV/121 pdf

“The SU(3) Structure of Rotational States in Heavy Deformed Nuclei”, M. Jarrio, J.L. Wood and D.J. Rowe, Nucl. Phys. A528, 409-435 (1991). CV/123  pdf

“Phase Transitions in the Pairing-plus-Quadrupole Model”, C. Bahri, D.J. Rowe, and W. Wijesundera, Phys. Rev. C58, 1539 (1998). CV/150 pdf

“SU(3) Quasi-Dynamical Symmetry as an Organizational Mechanism for Generating Nuclear Rotational Motions”, C. Bahri and D.J. Rowe, Nucl. Phys. A662, 125-147 (2000). CV/154 pdf

“Quasi dynamical symmetry in an interacting boson model phase transition”, D.J. Rowe, Phys. Rev. Lett.  93, 122502 (2004). CV/170 pdf

“Phase transitions and quasidynamical symmetry in nuclear  collective models: I. The  U(5) to O(6) phase transition in the IBM”, D.J. Rowe, Nucl. Phys. A 745, 47-78 (2004). CV/171 pdf

“Scaling properties and asymptotic spectra of finite models of phase transitions as they approach macroscopic limits”, D.J. Rowe, P.S. Turner and G. Rosensteel, Phys. Rev. Lett.  93, 232502 (2004). CV/172 pdf

“Phase transitions and quasidynamical symmetry in nuclear  collective models: II. The  spherical-vibrator to gamma-soft-rotor phase transition in an SO(5)-invariant Bohr model”, P.S. Turner and  D.J. Rowe, Nucl. Phys. A 756, 333-355 (2005). CV/173  pdf

“Phase transitions and  quasidynamical symmetry in nuclear  collective models: III. U(5) to SU(3) phase transition in the IBM”, G. Rosensteel and  D.J. Rowe, Nucl. Phys. A 759, 92-128 (2005). CV/175 pdf

Books  —  back to top

"Nuclear Collective Motion'', (Methuen, London, 1970) pp. 340.

"The Shell Model Theory of Nuclear Collective States" in Dynamical Groups and Spectrum Generating Algebras, eds. A. Bohm, Y. Ne'eman, A.O. Barut, World Scientific 1988, vol. I, pp 287-315.

"Mathematical Physics" in Physics 2000 as it Enters a New Millennium, eds. P.J. Black. G.W.F. Drake, and L. Jossem (I.U.P.A.P.- 36) pp 106-116. pdf

"Practical Group Theory" (in preparation with Joe Repka).

"Fundamentals of Nuclear Models" (with J.L. Wood), in press.

Research Objectives

Sample Publications

Equations of Motion Formalism

Large Amplitude Collective Motion, Coherent States,
Classical & Quantum Mechanics

Microscopic Theory of Nuclear Collective Dynamics

Collective Models as Algebraic Models

Vector Coherent State Theory and other Mathematical Physics

Shell model and
coupling schemes

Quasi-Dynamical Symmetry and Phase Transitions

Books