General properties between the canonical correlation and the independent-oscillator model on a partial *-algebra

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We consider a quantum particle in thermal equilibrium with any quantum system in a finite volume under some conditions. For the Heisenberg operator of the momentum operator of the quantum particle, we show that, on a partial *-algebra, the Heisenberg operator satisfies a quantum Langevin equation, which is similar to the work of Ford et al. [G. W. Ford, J. T. Lewis, and R. F. O'Connell, Phys. Rev. A 37, 4419 (1988)]. Through the Langevin equation, we show general and mathematical properties between the canonical correlation and the independent-oscillator model.

Original languageEnglish
Pages (from-to)121-146
Number of pages26
JournalJournal of Mathematical Physics
Volume37
Issue number1
DOIs
Publication statusPublished - Jan 1 1996

Fingerprint

Partial Algebra
Canonical Correlation
algebra
oscillators
Langevin Equation
operators
Operator
Thermal Equilibrium
Finite Volume
Quantum Systems
Momentum
Model
momentum

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

@article{408913c83191405db844921d1194cd77,
title = "General properties between the canonical correlation and the independent-oscillator model on a partial *-algebra",
abstract = "We consider a quantum particle in thermal equilibrium with any quantum system in a finite volume under some conditions. For the Heisenberg operator of the momentum operator of the quantum particle, we show that, on a partial *-algebra, the Heisenberg operator satisfies a quantum Langevin equation, which is similar to the work of Ford et al. [G. W. Ford, J. T. Lewis, and R. F. O'Connell, Phys. Rev. A 37, 4419 (1988)]. Through the Langevin equation, we show general and mathematical properties between the canonical correlation and the independent-oscillator model.",
author = "Masao Hirokawa",
year = "1996",
month = "1",
day = "1",
doi = "10.1063/1.531379",
language = "English",
volume = "37",
pages = "121--146",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "1",

}

TY - JOUR

T1 - General properties between the canonical correlation and the independent-oscillator model on a partial *-algebra

AU - Hirokawa, Masao

PY - 1996/1/1

Y1 - 1996/1/1

N2 - We consider a quantum particle in thermal equilibrium with any quantum system in a finite volume under some conditions. For the Heisenberg operator of the momentum operator of the quantum particle, we show that, on a partial *-algebra, the Heisenberg operator satisfies a quantum Langevin equation, which is similar to the work of Ford et al. [G. W. Ford, J. T. Lewis, and R. F. O'Connell, Phys. Rev. A 37, 4419 (1988)]. Through the Langevin equation, we show general and mathematical properties between the canonical correlation and the independent-oscillator model.

AB - We consider a quantum particle in thermal equilibrium with any quantum system in a finite volume under some conditions. For the Heisenberg operator of the momentum operator of the quantum particle, we show that, on a partial *-algebra, the Heisenberg operator satisfies a quantum Langevin equation, which is similar to the work of Ford et al. [G. W. Ford, J. T. Lewis, and R. F. O'Connell, Phys. Rev. A 37, 4419 (1988)]. Through the Langevin equation, we show general and mathematical properties between the canonical correlation and the independent-oscillator model.

UR - http://www.scopus.com/inward/record.url?scp=0030553166&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030553166&partnerID=8YFLogxK

U2 - 10.1063/1.531379

DO - 10.1063/1.531379

M3 - Article

AN - SCOPUS:0030553166

VL - 37

SP - 121

EP - 146

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

ER -