### Nuclear Theory: The Quasiparticle Method. 1968

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## Arkadi Beinussowitsch Migdal – Wikipedia

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View Preview. Learn more Check out. Citing Literature. Volume 20 , Issue 10 Pages Related Information. Close Figure Viewer. 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.

- Landau Theory of Fermi Liquid in a Relativistic Nonlinear (σ, ω) Model at Finite Temperature.
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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. Rowe, Phys. Rowe, Rev. Rowe and S. Wong, Nucl. A, Rowe and C.

Ngo-Trong, Rev. Ngo-Trong, T. Suzuki and D. Rowe, Nucl. Ho, G. Rosensteel, and D. Rowe and R. Basserman, Can. Rowe A. Ryman and G.

### Some Approximations in the Theorie of Moments and Transitions for Even‐Odd Nuclei

Rosensteel , Phys. A22, Rosensteel and D. A 24, Rowe and A. Ryman, J. A , Rowe, M. Vassanji and G. Rosensteel, Phys. A 28, Bartlett and D. Rowe, J. A: Math. Gulshani and D. Rowe, Can. Rowe and G. Rosensteel, J. Rosensteel, Annals of Phys. Rowe, Annals of Phys. Park, J.

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Carvalho, M. Vassanji, D. Rosensteel, Nucl. Vassanji and D.

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Rowe, Rep. Carvalho, R. Le Blanc, M. Rowe and J. McGrory, Nucl.

## Dense nuclear matter: Landau Fermi-liquid theory and chiral Lagrangian with scaling

A Carvalho, D. Rowe, S. Karram, and C. Manipal Centre for Natural Sciences, Manipal. Abstract An improvement in the inverse gap equation IGE method is proposed in which the fed single-quasi-particle-energies are corrected either by the second-order perturbation theory or by the modified Tamm-Dancoff approximation MTDA theory at each iteration. Fingerprint elementary excitations. Nuclear Physics, Section A , 1 , Gambhir, Y. In: Nuclear Physics, Section A.