Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Mathematical Physics

Ordering of the exponential of a quadratic in boson operators. II. Multimode case

Govind Prasad Agrawal, C. L. Mehta

Published Mar 1, 1977• 9 citations
Publisher

Abstract

We derive the Weyl, the normal, and the antinormal ordered forms of the exponential of a multimode quadratic expression in boson operators. The trace of this exponential operator is also evaluated.
DOI
10.1063/1.523283

Related papers

Ordering of the exponential of a quadratic in boson operators. I. Single mode case

C. L. Mehta

The Weyl ordered form of the operator exp[αâ2+βâ2++γ (â+â+ââ+)] is derived in a very simple way. Using this result, we also obtain the normal and antinormal ordered forms as well as the diagonal coherent states representation of this operator.

Journal of Mathematical Physics•Mar 1, 1977•26 citations

Two Theorems for General n -Mode Boson Exponential Quadratic Operators

Xu Xiu-Wei, Zhang Yong-de

By the aid of the generalized linear quantum transform theory, we present for the multimode boson exponential quadratic operators two theorems to change the operator expressions among usual, normal and anti-normal orderings.

Chinese Physics Letters•Nov 1, 1997•4 citations

The Normal- and Antinormal-Ordered Decomposition Formulas of Multimode Exponential Operators

Song Tong-Qiang, Feng Jian, Gao Yun-Feng

We obtain the normally ordered form of the general multimode exponential operator by means of parameter differentiation method and its antinormally ordered form by virtue of the technique of integration within an ordered product of operators. As an application, we obtain a new completeness relation in -mode Fock space.

Communications in Theoretical Physics•Apr 15, 2001•0 citations

General Approach to Antinormally Ordering Boson Exponential Quadratic Operators and Its Applications

Xiang‐Bin Wang, Yong-de Zhang, Jian-Wei Pan

A general approach to antinormally ordering the boson exponential quadratic operators (EQOs) is presented. By the approach, some important EQOs, including squeezed operator of one mode and two mode, linear quantum transformation operator, Bogolubov transformation operator are antinormally ordered.

Chinese Physics Letters•Jun 1, 1996•5 citations

Analytic Expression of Arbitrary Matrix Elements for Boson Exponential Quadratic Polynomial Operators

Xu Xiu-Wei, Ren Ting-Qi, Liu Shu-Yan +2 more

Making use of the transformation relation among usual, normal, and antinormal ordering for the multimode boson exponential quadratic polynomial operators (BEQPO's), we present the analytic expression of arbitrary matrix elements for BEQPO's. As a preliminary application, we obtain the exact expressions of partition function about the boson quadratic polynomial system, matrix elements in particle-number, coordinate, and momentum representation, and P representation for the BEQPO's.

Communications in Theoretical Physics•Jan 1, 2007•1 citation

Antinormally ordering some multimode exponential operators by virtue of the IWOP technique

Fan Hong‐Yi

The author shows that the technique of integration within ordered product (IWOP) can also provide one with a simple approach to antinormally ordering some multimode exponential operators both in boson and fermion cases.

Journal of Physics A Mathematical and General•Feb 21, 1992•34 citations