Pati, Arun Kumar ; Lawande, Suresh V. (1995) Geometric phase for a finite-dimensional Hilbert-space harmonic oscillator Physical Review A, 51 (6). pp. 5012-5015. ISSN 1050-2947
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Official URL: http://journals.aps.org/pra/abstract/10.1103/PhysR...
Related URL: http://dx.doi.org/10.1103/PhysRevA.51.5012
Abstract
It is shown that the state vector of a harmonic oscillator in a finite-dimensional Hilbert space changes sign only when the Hilbert space is of even dimension. The cyclic geometric phase for this finite-dimensional Hilbert-space harmonic oscillator is calculated. The effect of the finiteness of the Hilbert space on the dynamical and geometric phase change of a harmonic oscillator during a complete cycle is studied. In the limit of an infinite-dimensional case, the expressions reduce to the well known results.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Physical Society. |
| ID Code: | 104427 |
| Deposited On: | 09 Mar 2018 11:37 |
| Last Modified: | 09 Mar 2018 11:37 |
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