Affine symmetry in mechanics of collective and internal modes II: Quantum models

DOI10.1016/S0034-4877(05)80002-3zbMath1156.81379arXiv0802.3028OpenAlexW2088920820MaRDI QIDQ930721

Elsie Sterbin Gottlieb

Publication date: 1 July 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.3028

zbMATH Keywords

collective modesaffine invariancequantum many-body problemSchrödinger quantization

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) General quantum mechanics and problems of quantization (81S99)

Related Items

Mechanics of affine bodies. Towards affine dynamical symmetry ⋮ Classical and quantized affine models of structured media ⋮ Classical dynamics of fullerenes ⋮ Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies ⋮ Constraints and symmetry in mechanics of affine motion ⋮ Motion of test bodies with internal degrees of freedom in non-Euclidean spaces ⋮ Quantization of affinely-rigid bodies with degenerate dimension ⋮ Schrödinger and related equations as Hamiltonian systems, manifolds of second-order tensors and new ideas of nonlinearity in quantum mechanics ⋮ Quantization of two-dimensional affine bodies with stabilized dilatations ⋮ Dynamics of affinely deformable bodies from the standpoint of theoretical mechanics and differential geometry ⋮ Mechanics of systems of affine bodies. Geometric foundations and applications in dynamics of structured media

Cites Work

• Quantization of an affinely-rigid body with constraints.
• Quantization of anisotropic rigid body
• Affine symmetry in mechanics of collective and internal modes. I: Classical models
• Geodetic Systems on Linear and Affine Groups. Classics and Quantization.
• Quantization of the planar affinely-rigid body
• Classical and Quantized Affine Physics: A Step towards it
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