Regarding Nonstationary Quadratic Quantum Systems

Autor: V. A. Tarverdiyeva, Sh. M. Nagiyev, A. I. Ahmadov, Sh. A. Amirova
Rok vydání: 2019
Předmět:
Zdroj: Russian Physics Journal. 61:2173-2187
ISSN: 1573-9228
1064-8887
DOI: 10.1007/s11182-019-01654-7
Popis: With the help of the evolution operator method, we have established unitary connection between quadratic systems, namely between a free particle with variable mass M(t) , a particle with variable mass M(t) in a variable homogeneous field, and a harmonic oscillator with variable mass M(t) and frequency ω(t) , on which a variable force F(t) acts. Knowledge of the unitary connection allowed us to express easily in general form the propagators, invariants, wave functions, and other functions of a linear potential and a harmonic oscillator in terms of the corresponding quantities for a free particle. We have analyzed the linear and quadratic invariants in detail. Results known in the literature follow as particular cases from the general results obtained here.
Databáze: OpenAIRE
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