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Статья
2019

Regarding Nonstationary Quadratic Quantum Systems


Sh. M. NagiyevSh. M. Nagiyev, A. I. AhmadovA. I. Ahmadov, V. A. TarverdiyevaV. A. Tarverdiyeva, Sh. A. AmirovaSh. A. Amirova
Российский физический журнал
https://doi.org/10.1007/s11182-019-01654-7
Abstract / Full Text

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.

Author information
  • Institute of Physics of the National Academy of Sciences of Azerbaijan, Baku, AzerbaijanSh. M. Nagiyev, V. A. Tarverdiyeva & Sh. A. Amirova
  • Baku State University, Baku, AzerbaijanA. I. Ahmadov
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