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

页码：87 / 106

页数：20

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