Invariant Quantum States of Quadratic Hamiltonians

被引：11
作者：
Dodonov, Viktor V. [1 ,2 ]
机构：
[1] Univ Brasilia, Inst Phys, POB 04455, BR-70919970 Brasilia, DF, Brazil
[2] Univ Brasilia, Int Ctr Phys, BR-70919970 Brasilia, DF, Brazil
来源：
ENTROPY | 2021年 / 23卷 / 05期
关键词：
covariance matrix; positively (semi)definite matrices; symplectic transformations; charged particle in homogeneous magnetic fields; generalized frequency converter; TIME-DEPENDENT INVARIANTS; PARTIALLY COHERENT BEAMS; WIGNER DISTRIBUTION FUNCTION; CHARGED-PARTICLE; GEOMETRIC PHASES; PARAMETRIC CHARACTERIZATION; UNIVERSAL INVARIANTS; HARMONIC-OSCILLATOR; MOMENT INVARIANTS; GREEN-FUNCTIONS;
D O I：
10.3390/e23050634
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The problem of finding covariance matrices that remain constant in time for arbitrary multi-dimensional quadratic Hamiltonians (including those with time-dependent coefficients) is considered. General solutions are obtained.
引用
收藏
页数：11
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