| 1. |
Sławianowski J.J., Kovalchuk V., Sławianowska A.♦, Gołubowska B., Martens A., Rożko E.E., Zawistowski Z.J., Affine symmetry in mechanics of collective and internal modes. Part II. Quantum models,
REPORTS ON MATHEMATICAL PHYSICS, ISSN: 0034-4877, DOI: 10.1016/S0034-4877(05)80002-3, Vol.55, No.1, pp.1-46, 2005 Abstract:
Discussed is the quantized version of the classical description of collective and internal affine modes as developed in Part I. We perform the Schroedinger quantization and reduce effectively the quantized problem from $n^2$ to $n$ degrees of freedom. Some possible applications in nuclear physics and other quantum many-body problems are suggested. Discussed is also the possibility of half-integer angular momentum in composed systems of spinless particles. Keywords:
Collective modes, affine invariance, Schroedinger quantization, quantum many-body problem Affiliations:
| Sławianowski J.J. | - | IPPT PAN | | Kovalchuk V. | - | IPPT PAN | | Sławianowska A. | - | other affiliation | | Gołubowska B. | - | IPPT PAN | | Martens A. | - | IPPT PAN | | Rożko E.E. | - | IPPT PAN | | Zawistowski Z.J. | - | IPPT PAN |
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| 2. |
Sławianowski J.J.♦, Kovalchuk V., Sławianowska A.♦, Gołubowska B., Martens A., Rożko E.E., Zawistowski Z.J., Affine symmetry in mechanics of collective and internal modes. Part I. Classical models,
REPORTS ON MATHEMATICAL PHYSICS, ISSN: 0034-4877, DOI: 10.1016/S0034-4877(04)80026-0, Vol.54, No.3, pp.373-427, 2004Abstract:
Discussed is a model of collective and internal degrees of freedom with kinematics based on affine group and its subgroups. The main novelty in comparison with the previous attempts of this kind is that it is not only kinematics but also dynamics that is affinely-invariant. The relationship with the dynamics of integrable one-dimensional lattices is discussed. It is shown that affinely-invariant geodetic models may encode the dynamics of something like elastic vibrations. Keywords:
Collective modes, affine invariance, integrable lattices, nonlinear elasticity Affiliations:
| Sławianowski J.J. | - | other affiliation | | Kovalchuk V. | - | IPPT PAN | | Sławianowska A. | - | other affiliation | | Gołubowska B. | - | IPPT PAN | | Martens A. | - | IPPT PAN | | Rożko E.E. | - | IPPT PAN | | Zawistowski Z.J. | - | IPPT PAN |
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