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

Feynman Transformation Matrix Element for a type of Hamiltonian of Angular Momentum system

Hong-Yi Fan

Published Mar 1, 1992• 1 citation
Publisher

Abstract

Using the technique of integration within ordered product (IWOP) of operators and the Schwinger boson representation for the angular momentum theory as well as the coherent state's method, we evaluate the Feynman transformation matrix element for the angular momentum system whose Hamiltonian is (A, B, C real). The eigenstate of H is derived and the comparison between it and the coherent state is made.

DOI
10.1088/0253-6102/17/2/253

Related papers

New Approach to the Study of Atomic Coherent State

Fan Hong‐Yi

On the basis of the technique of performing integration within ordered product proposed in our previous paper [1] and Schwinger boson representation for angular momentum, we derive new normal product forms for coset element of group and their product as well as some new operator identities which are useful in studying atomic coherent state. This new formulation provides the possibility of making use of the Glauber coherent state to find new properties of atomic system.

Communications in Theoretical Physics•Dec 1, 1987•2 citations

New Operator Identities Gained via Coherent State Formulation

Fan Hong-Yi, Ruan Tu-Nan

By the properties of the coherent state and the technique of performing integrations within ordered products as in Ref. [1], we derive some new useful operator ordering identities. Their applications, especially in studying the Boglyubov transformations both in one and two dimensional cases, are presented. The explicit non-unitary operators which turn the coordinate or momentum eigen-state to the corresponding coherent state are also given. Moreover, by using the Schwinger angular momentum theory and the technique mentioned above we find the normal product form of the rotation operator, with which the coefficient of the rotation D-matrix can be easily obtained.

Communications in Theoretical Physics•Mar 1, 1985•16 citations

COMMUTATIVE PROPERTIES OF OPERATORS IN SCHWINGER B000N REPRESENTATION

Heng Fan

The angular momentum theory in the schwinger boson representation is developedto derive a new normal product expression for the commutator [e~(iαJx), e~(iβJy] by meansof the integral technique within normal product, and the effect on the coherent statecaused by two rotations which are in different seqences. Some new normal productexpressions for exponential operators, sueh as e~(σJ)-e~(λJ)+ etc, are also derived and theirapplications in atomic coherent states are presented.

Chinese Physics C•Jan 1, 1986•0 citations

Matrix elements of off-diagonal operator equivalents

Wolfgang Witschel

A simple derivation of off-diagonal operator equivalents and their matrix elements is given in the framework of Schwinger's coupled boson representation of angular momentum theory. The operator equivalents are up to a factor identical with those recently given by Atkins and Seymour, but they are derived differently without making use of properties of spherical harmonics, symmetrization, 3j coefficients and the Wigner-Eckart theorem.

Molecular Physics•Aug 1, 1973•7 citations

Phase Operators for Atomic System in Schwinger Boson Representation and their Properties

Fan Hong-Yi, Li Yong-ping

In terms of the Schwinger boson representation of angular momentum We introduce suitable phase operators which exhibit similar properties to those of the phase operators in radiation field into atomic system. With the help of them angular momentum's third component phase uncertainty relation are discussed. Also, the eigenstates of the Hermitian phase operator are derived.

Communications in Theoretical Physics•Apr 1, 1988•3 citations

Angular momentum projection integrals for coherent states

Serdar Kuyucak B, K. Unnikrishnan

Angular momentum projection integrals arising from the coherent state representation of bosonic spectrum generating algebras are evaluated using analytical and algebraic methods. For the vibron model of diatomic molecules, a closed expression is derived by direct integration. For the general case, the integral is evaluated as a 1/N expansion by exploiting the symmetries of the underlying boson system and making use of computer algebra.

Journal of Physics A Mathematical and General•Apr 7, 1995•5 citations
Using the technique of integration within ordered product (IWOP) of operators and the Schwinger boson representation for the angular momentum theory as well as the coherent state's method, we evaluate the Feynman transformation matrix element for the angular momentum system whose Hamiltonian is (A, B, C real). The eigenstate of H is derived and the comparison between it and the coherent state is made.
By the properties of the coherent state and the technique of performing integrations within ordered products as in Ref. [1], we derive some new useful operator ordering identities. Their applications, especially in studying the Boglyubov transformations both in one and two dimensional cases, are presented. The explicit non-unitary operators which turn the coordinate or momentum eigen-state to the corresponding coherent state are also given. Moreover, by using the Schwinger angular momentum theory and the technique mentioned above we find the normal product form of the rotation operator, with which the coefficient of the rotation D-matrix can be easily obtained.