This article is cited in 11 papers

Classical propagators of quadratic quantum systems

O. V. Man'ko

P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: A new quantum mechanical formalism based on the probability representation of states is applied to ions in traps and stimulated Raman scattering. Explicit expressions are found for the classical propagators of a free particle, a harmonic oscillator, an ion in the Paul trap, an ion in the Penning trap, and stimulated Raman scattering.

Received: 10.01.1999

DOI: 10.4213/tmf809

 English version: Theoretical and Mathematical Physics, 1999, 121:2, 1496–1505

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