QUANTUM TOMOGRAPHY OF TIME-DEPENDENT NONLINEAR HAMILTONIAN SYSTEMS

被引：2
|
作者：
Man'ko, V., I [1 ,2 ]
Markovich, L. A. [3 ,4 ,5 ]
机构：
[1] Russian Acad Sci, PN Lebedev Phys Inst, Leninskii Prospect 53, Moscow 119991, Russia
[2] Moscow Inst Phys & Technol, Inst Per 9, Dolgoprudnyi 141700, Moscow Region, Russia
[3] Russian Acad Sci, Inst Control Sci, Profsoyuznaya 65, Moscow 117997, Russia
[4] Inst Informat Transmiss Problems, Bolshoy Karetny Per 19,Build 1, Moscow 127051, Russia
[5] Russian Quantum Ctr, Correlated Quantum Syst Grp, Novaya St 100A, Moscow 143025, Russia
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2019年 / 83卷 / 01期
关键词：
quantum tomography; nonlinear Hamiltonian; oscillator; coherent states; CHARGED-PARTICLE; COHERENT STATES; SYMPLECTIC TOMOGRAPHY; CURRENT SITUATION; INVARIANTS; DYNAMICS;
D O I：
10.1016/S0034-4877(19)30026-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss several models of nonlinear oscillators within the framework of a tomographic probability representation of quantum mechanics. Using the connection between the Green's function and the integrals of motion of quantum systems with the time-dependent Schrodinger equation with variable nonlinear Hamiltonians, the explicit tomograms for such systems are found. The case of quadratic and quasi-quadratic Hamiltonians are studied in detail.
引用
收藏
页码：87 / 106
页数：20
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