Canonical quantization of dissipative systems

被引：2

作者：

Mahapatra, Ronit ^{[1
]}

Haque, Asrarul ^{[1
]}

机构：

[1] Birla Inst Technol & Sci, Dept Phys, Hyderabad Campus, Hyderabad 500078, Telangana, India

来源：

PHYSICS LETTERS A | 2024年 / 494卷

关键词：

Damped harmonic oscillator; Dissipative systems; Hamilton-Jacobi equation; Canonical quantization; QUANTUM; STATE;

D O I：

10.1016/j.physleta.2023.129289

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A consistent quantization procedure for a dissipative system is introduced. To this end Hamilton's least action principle compatible with initial value problems is exploited to obtain the Hamiltonian for the dissipative systems. The derivation of the Schrodinger equation for the dissipative system is presented. The canonical quantization method introduced is simple as well as general for linear damping. The canonical quantization procedure is employed to quantize the damped harmonic oscillator.

引用

页数：5

共 19 条

[1] Alternative approach to the quantization of the damped harmonic oscillator [J].

Blacker, Matthew J. ;

Tilbrook, David L. .

PHYSICAL REVIEW A, 2021, 104 (03)

[2]

Caldirola P., 1941, NUOVO CIM, V18, P393, DOI [10.1007/BF02960144, DOI 10.1007/BF02960144]

[3] Quantization of the damped harmonic oscillator based on a modified Bateman Lagrangian [J].

Deguchi, Shinichi ;

Fujiwara, Yuki .

PHYSICAL REVIEW A, 2020, 101 (02)

[4] CLASSICAL AND QUANTUM-MECHANICS OF THE DAMPED HARMONIC-OSCILLATOR [J].

DEKKER, H .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1981, 80 (01) :1-112

[5] LOSS ENERGY-STATES OF NONSTATIONARY QUANTUM SYSTEMS [J].

DODONOV, VV ;

MANKO, VI .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1978, 44 (02) :265-274

[6] Classical Mechanics of Nonconservative Systems [J].

Galley, Chad R. .

PHYSICAL REVIEW LETTERS, 2013, 110 (17)

[7]

GARFIELD E, 1983 ARTICLES MOST C

[8] COHERENT STATE AND THE DAMPED HARMONIC-OSCILLATOR [J].

GHOSH, G ;

HASSE, RW .

PHYSICAL REVIEW A, 1981, 24 (03) :1621-1623

[9] CRITIQUE OF THE MAJOR APPROACHES TO DAMPING IN QUANTUM-THEORY [J].

GREENBERGER, DM .

JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (05) :762-770

[10] Nonlinear power spectral densities for the harmonic oscillator [J].

Hauer, B. D. ;

Maciejko, J. ;

Davis, J. P. .

ANNALS OF PHYSICS, 2015, 361 :148-183

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