Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901161 | Reports on Mathematical Physics | 2008 | 11 Pages |
Abstract
Discussed are some quantization problems of two-dimensional affine bodies. Quantum dilatational motion is stabilized by some appropriately chosen model potentials. Isochoric part of the dynamics is geodetic, i.e. potential-free. Surprisingly enough, this is compatible with the existence of discrete spectrum (bounded quantum motion). The Sommerfeld polynomial method is used to perform the quantization of such problems.
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Mathematical Physics