Progress of Theoretical Physics

Schwinger Boson Representation for the Quantized Rotator

M. Yamamura, T. Suzuki, H. Ichihashi

Published Jul 1, 1978• 7 citations

Abstract

Schwinger representation for angular momentum operators is extended to that for the quantized rotator by introducing four kinds of bosons. The basis vectors and fundamental operators of the quantized rotators are expressed in the closed forms with respect to the boson operators.

DOI: 10.1143/ptp.60.197

Related papers

Boson representation for the quantized rotator

Eugene R. Marshalek

Boson expansions are given in closed form for the basis states and fundamental operators of the quantized rotator. The boson representation is especially useful for describing states of high spin.Received 2 January 1975DOI:https://doi.org/10.1103/PhysRevC.11.1426©1975 American Physical Society

Physical Review CApr 1, 197539 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 PhysicsApr 1, 19883 citations

On the Classical Interpretation of Schwinger Boson Representation for the Quantized Rotator

H. Ichihashi, M. Yamamura

A classical correspondence of Schwinger boson representation for the quantized rotator is investigated by the use of a coherent state. As one of the applications, the asymmetric rotator in the high spin limit is described, and the results are consistent with those given by Bohr and Mottelson.

Progress of Theoretical PhysicsSep 1, 19784 citations

Normal Product Expansion of Rotation Operators Gained by Coherent State Method

Fan Hang-yi

In Schwinger boson representation of angular momentum theory we derive new normal product expansion of rotation operators which can generate new operator identities in the Hilbert space to which SU 2 group maps, some properties and applications of them are presented.

Communications in Theoretical PhysicsMar 1, 19876 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 CJan 1, 19860 citations

Coupling Schemes for an n su(2) Spin System

Masatoshi Yamamura, Constança Providência, João Da Providência +2 more

In the framework of the Schwinger boson representation for the su(2)-algebra, the closed form is derived for the total spin eigenstates which result from the coupling of n su(2)-spins. In order to demonstrate its usefulness, the orthogonal set for the so(5)-algebra, which is reduced to four su(2)-spin systems, is obtained. 1 typeset using PTPTEX.sty <ver.1.0>§1. Introduction and preliminaries The boson realization of the su(2)-algebra due to Schwinger 1) and named after him plays a crucial role in the Theory of Angular Momentum, for instance in the derivation of the irreducible representations of the rotation operators. The Schwinger representation of the su(2)-algebra also proved to be most useful in the study of various many-body systems,

Jan 1, 20040 citations