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Title: Operator ordering index method for multiple commutators and Suzuki{close_quote}s quantum analysis

Abstract

General formulas are presented for the multiple commutator involving a function of an operator A in terms of (multiple) commutators involving A by using {open_quotes}operator ordering indices.{close_quotes} It is pointed out that this analysis essentially reproduces the quantum analysis, proposed by Suzuki very recently, in a more transparent way. Extension to the case of several operators is also made in an elegant form. {copyright} {ital 1997 American Institute of Physics.}

Authors:
;  [1];  [2]
  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-01 (Japan)
  2. 12-20 Asahigaoka-cho, Hirakata 573 (Japan)
Publication Date:
OSTI Identifier:
463524
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 38; Journal Issue: 2; Other Information: PBD: Feb 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; FIELD OPERATORS; COMMUTATORS; QUANTUM FIELD THEORY; QUANTUM GRAVITY; DIFFERENTIAL CALCULUS; ANALYTIC FUNCTIONS; HEISENBERG PICTURE

Citation Formats

Abe, M, Ikeda, N, and Nakanishi, N. Operator ordering index method for multiple commutators and Suzuki{close_quote}s quantum analysis. United States: N. p., 1997. Web. doi:10.1063/1.531876.
Abe, M, Ikeda, N, & Nakanishi, N. Operator ordering index method for multiple commutators and Suzuki{close_quote}s quantum analysis. United States. https://doi.org/10.1063/1.531876
Abe, M, Ikeda, N, and Nakanishi, N. 1997. "Operator ordering index method for multiple commutators and Suzuki{close_quote}s quantum analysis". United States. https://doi.org/10.1063/1.531876.
@article{osti_463524,
title = {Operator ordering index method for multiple commutators and Suzuki{close_quote}s quantum analysis},
author = {Abe, M and Ikeda, N and Nakanishi, N},
abstractNote = {General formulas are presented for the multiple commutator involving a function of an operator A in terms of (multiple) commutators involving A by using {open_quotes}operator ordering indices.{close_quotes} It is pointed out that this analysis essentially reproduces the quantum analysis, proposed by Suzuki very recently, in a more transparent way. Extension to the case of several operators is also made in an elegant form. {copyright} {ital 1997 American Institute of Physics.}},
doi = {10.1063/1.531876},
url = {https://www.osti.gov/biblio/463524}, journal = {Journal of Mathematical Physics},
number = 2,
volume = 38,
place = {United States},
year = {Sat Feb 01 00:00:00 EST 1997},
month = {Sat Feb 01 00:00:00 EST 1997}
}