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

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

General theory of linear quantum transformation of Bargmann-Fock space

Yong-de Zhang, Zhong Feng Tang

Published Apr 1, 1994• 19 citations
Publisher
DOI
10.1007/bf02722519

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

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

Linear transformations of quantum states

Sarah Croke, Stephen Mark Barnett, Stig Stenholm

Annals of Physics•Jun 18, 2007•5 citations

Linear Quantum Theory and Its Possible Nonlinear Generalizations

K. R. W. Jones

Annals of Physics•Aug 1, 1994•6 citations

PCT-Invariance of Generalized de Broglie-Bargmann-Wigner Equations

Harald Stumpf

Generalized de Broglie-Bargmann-Wigner (GBBW)-equations are part of the derivation of effective theories for composite particles based on a nonlinear spinor field model with canonical quantization, relativistic invariant selfregularization and probability interpretation. Owing to the close connection between the model itself and its GBBW-equations the behavior of both is studied under PCT-transformations leading to the proof of invariance against such tranformation of the field Hamiltonian as well as of the GBBW-equations. Finally the algebraic formulation of the operators of these transformations in general state spaces is derived as the nonperturbative algebraic treatment of the model is referred to such spaces which are inequivalent to the Fock space representation of perturbation theory.

Zeitschrift für Naturforschung A•Oct 1, 2003•1 citation

On the Heisenberg algebra in Bargmann–Fock space with natural cutoffs

Kourosh Nozari, M. Roushan

We construct a generalized Hilbert space representation of quantum mechanics in [Formula: see text]-dimensions based on Bargmann–Fock space with natural cutoffs as a minimal length, minimal momentum and maximal momentum in order to have a general framework for Heisenberg algebra in Bargmann–Fock space.

International Journal of Geometric Methods in Modern Physics•Feb 16, 2016•7 citations
Generalized de Broglie-Bargmann-Wigner (GBBW)-equations are part of the derivation of effective theories for composite particles based on a nonlinear spinor field model with canonical quantization, relativistic invariant selfregularization and probability interpretation. Owing to the close connection between the model itself and its GBBW-equations the behavior of both is studied under PCT-transformations leading to the proof of invariance against such tranformation of the field Hamiltonian as well as of the GBBW-equations. Finally the algebraic formulation of the operators of these transformations in general state spaces is derived as the nonperturbative algebraic treatment of the model is referred to such spaces which are inequivalent to the Fock space representation of perturbation theory.