Bogdanovic, R. ; Gopinathan, M. S. (1979) A canonical transformation of the Hamiltonians quadratic in coordinate and momentum operators Journal of Physics A: Mathematical and General, 12 (9). p. 1457. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/12/9/013
Related URL: http://dx.doi.org/10.1088/0305-4470/12/9/013
Abstract
An algebraic (matrix) method is presented for canonically transforming the Hamiltonians quadratic in coordinate and momentum operators into the Hamiltonian of non-interacting harmonic oscillators. The method is illustrated by transforming the Hamiltonian of a harmonic oscillator in a constant magnetic field into the Hamiltonian of the two-dimensional, in general anisotropic, harmonic oscillator. The results are found to be in agreement with those obtained previously for the same Hamiltonian using a different technique.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 15229 |
| Deposited On: | 13 Nov 2010 06:51 |
| Last Modified: | 02 Jun 2011 07:05 |
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