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

Communications in Theoretical Physics

Two Applications of Linear Quantum Transformation Theory in Multi-Mode Fock Space

Yong-De Zhang, Lei Ma, Xiang‐Bin Wang, Jian-Wei Pan

Published Sep 15, 1996• 3 citations
Publisher

Abstract

By the aid of the linear quantum transformation (LQT), we derive all of the explicit expressions of Bogoliubov-Valatin transformation and the rotation transformation in the case of multi-mode Fock space.
DOI
10.1088/0253-6102/26/2/203

Related papers

Linear quantum transformation in multi-mode fermion Fock space and its applications

Lei Ma, Yong-de Zhang

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Sep 1, 1995•4 citations

General theory of linear quantum transformation of Bargmann-Fock space

Yong-de Zhang, Zhong Feng Tang

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B•Apr 1, 1994•19 citations

Linear boson transformation coefficients

Arvind Narayan Vaidya

A simple expression for the coefficients which connect a Fock state containing an arbitrary number of quasiparticles with its tranformed state under a boson Bogoliubov transformation is obtained.

Journal of Mathematical Physics•Jun 1, 1976•0 citations

Generalization of the quantized Bogoliubov-Valatin transformation and relation to the method of the vector coherent state: The case of U(3)

Abraham Klein, Niels R. Walet

Nuclear Physics A•Aug 1, 1990•5 citations

Linear Quantum Transform Theory in Bargmann–Fock Space and Its Preliminary Application

Yong-De Zhang, Zhong Feng Tang

A general theory for the linear transform in Bargmann–Fock space of n-mode boson system is presented. The group structure of transform is analyzed and the explicit expressions of transform operations in terms of normal ordering are given. As applications, a series of useful identities are given, the decoupling problem for general two-boson interaction and the normal product calculation of boson exponential quadratic operators are studied.

Communications in Theoretical Physics•Jan 30, 1995•5 citations

Quantum transformation theory in fermion Fock space

Yong-de Zhang, Zhong Feng Tang

In this article a general linear quantum transformation U for the following fermion system with n modes, (b′+,b̃′)=U(b+,b̃)U−1=(b+,b̃)(B̃, A, C̃D), is studied. All above transformations in Fock space are proved to form a ray representation of a group which is isomorphic with O(2n,C). The explicit expressions of operator U in terms of the normal ordered product and non-normal ordered product are obtained. A series of auxiliary identities are given. It has been mentioned that the results are applicable to the case of fermion fields with interaction.

Journal of Mathematical Physics•Dec 1, 1993•21 citations
In this article a general linear quantum transformation U for the following fermion system with n modes, (b′+,b̃′)=U(b+,b̃)U−1=(b+,b̃)(B̃, A, C̃D), is studied. All above transformations in Fock space are proved to form a ray representation of a group which is isomorphic with O(2n,C). The explicit expressions of operator U in terms of the normal ordered product and non-normal ordered product are obtained. A series of auxiliary identities are given. It has been mentioned that the results are applicable to the case of fermion fields with interaction.