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

Various explicit expression of Squeezed operators and Schwinger operators

Yang Je

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

General exponential expressions of Squeezed operators and Schwinger operators are transformed into normal and antinormal ordering forms by using decomposition theorem of angular momentum.

Related papers

An Approach for Calculating Antinormally Ordered Form of Squeezing Operators

Hong-Yi Fan

In this work we present a new approach for deriving the antinormal product forms of some types of squeezing operators. This approach is based on the technique of integration within antinormally ordered product of opertors which is previously introduced in Ref.

Communications in Theoretical Physics•Jun 1, 1992•1 citation

The use of `operator equivalents'

D Smith, J. H. M. Thornley

Angular momentum operators transforming in the same way as spherical tensors are listed up to sixth order, and a general expression for their matrix elements is given.

Proceedings of the Physical Society•Dec 1, 1966•114 citations

New Convenient Way for Disentangling Exponential Operator Composed of Angular Momentum Operators

Hongqi Li, Xing-Lei Xu, Fan Hong‐Yi

In the preceding paper ( Commun. Theor. Phys. 51 (2009) 321 ) we have recommended a convenient method for disentangling exponential operators. In this work we use this method for disentangling exponential operators composed of angular momentum operators. We mainly disentangle the form of exp[2hJ z + gJ + + kJ − ] as the ordering exp(...J + )exp(...J z )exp(...J − ), we employ the Schwinger Bose realization J − = b † a, J + = a † b, J z = (a † a − b † b)/2 to fulfil this task, without appealing to Lie algebra method. Note that this operator's disentangling is different from its decomposition in normal ordering.

Communications in Theoretical Physics•May 1, 2011•2 citations

An exact calculation of the expectation values of phase operators in squeezed states

Hong-Yi Fan, Haider R. Zaidi

Optics Communications•Sep 1, 1988•44 citations

Derivation of Squeezed States Via Weyl Ordering Approach

Hong-Yi Fan, Yue Fan

By virtue of the invariance of Weyl ordering under similar transformations we find a new approach to derive explicit forms of squeezed states. The technique of integration within an ordered product of operators is fully used in our discussions.

Modern Physics Letters A•Oct 10, 1997•22 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
In the preceding paper ( Commun. Theor. Phys. 51 (2009) 321 ) we have recommended a convenient method for disentangling exponential operators. In this work we use this method for disentangling exponential operators composed of angular momentum operators. We mainly disentangle the form of exp[2hJ z + gJ + + kJ − ] as the ordering exp(...J + )exp(...J z )exp(...J − ), we employ the Schwinger Bose realization J − = b † a, J + = a † b, J z = (a † a − b † b)/2 to fulfil this task, without appealing to Lie algebra method. Note that this operator's disentangling is different from its decomposition in normal ordering.