QUANTIZATION OF A HAMILTONIAN SYSTEM WITH AN INFINITE NUMBER OF DEGREES OF FREEDOM

被引：0

作者：

ZHIDKOV, PE

机构：

[1] Bogoliubov Theoretical Laboratory, Joint Institute for Nuclear Research, Dubna, 141980, Moscow Region

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1995年 / 33卷 / 04期

关键词：

Mathematics Subject Classifications (1991): 81S99; 81T25;

D O I：

10.1007/BF00749684

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a method of quantization of a discrete Hamiltonian system with an infinite number of degrees of freedom. Our approach is analogous to the usual finite-dimensional quantum mechanics. We construct an infinite-dimensional Schrodinger equation. We show that it is possible to pass from the finite-dimensional quantum mechanics to our construction in the limit when the number of particles tends to infinity. Rigorous mathematical methods are used.

引用

页码：303 / 312

页数：10

共 50 条

[41] Symmetries of Hamiltonian systems with two degrees of freedom
Damianou, PA
Sophocleous, C
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (01) : 210 - 235
[42] HAMILTONIAN DYNAMICS OF PARTICLES WITH GAUGE DEGREES OF FREEDOM
SNIATYCKI, J
[J]. HADRONIC JOURNAL, 1979, 2 (03): : 642 - 656
[43] On Resonances in Hamiltonian Systems with Three Degrees of Freedom
Karabanov, Alexander A.
Morozov, Albert D.
[J]. REGULAR & CHAOTIC DYNAMICS, 2019, 24 (06): : 628 - 648
[44] Bifurcations in a Hamiltonian system with two degrees of freedom associated with the reversible hyperbolic umbilic
Xing Zhou
Xuemei Li
[J]. Nonlinear Dynamics, 2021, 105 : 2005 - 2029
[45] A Hamiltonian system of three degrees of freedom with eight channels of escape: The Great Escape
Euaggelos E. Zotos
[J]. Nonlinear Dynamics, 2014, 76 : 1301 - 1326
[46] Bifurcations in a Hamiltonian system with two degrees of freedom associated with the reversible hyperbolic umbilic
Zhou, Xing
Li, Xuemei
[J]. NONLINEAR DYNAMICS, 2021, 105 (03) : 2005 - 2029
[47] NON-LINEAR OSCILLATIONS OF A HAMILTONIAN SYSTEM WITH ONE AND HALF DEGREES OF FREEDOM
Bardin, B. S.
Maciejewski, A. J.
[J]. REGULAR & CHAOTIC DYNAMICS, 2000, 5 (03): : 345 - 360
[48] A Hamiltonian system of three degrees of freedom with eight channels of escape: The Great Escape
Zotos, Euaggelos E.
[J]. NONLINEAR DYNAMICS, 2014, 76 (02) : 1301 - 1326
[49] STABILITY OF HAMILTONIAN AUTONOMOUS SYSTEM WITH 2 DEGREES OF FREEDOM IN CASE OF EQUAL FREQUENCIES
SOKOLSKIJ, AG
[J]. PRIKLADNAYA MATEMATIKA I MEKHANIKA, 1974, 38 (05): : 791 - 799
[50] Schrodinger Quantization of Infinite-Dimensional Hamiltonian Systems with a Nonquadratic Hamiltonian Function
Smolyanov, O. G.
Shamarov, N. N.
[J]. DOKLADY MATHEMATICS, 2020, 101 (03) : 227 - 230

← 1 2 3 4 5 →