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

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Orthonormalization eigenstates of akand their quantum statistical characters

Ma Ai-Qun, Shi Weichun, Shizhan Lei, Shi-Yao Zhu

Published Oct 28, 1992• 0 citations
Publisher

Abstract

The mathematical structure of orthonormalization eigenstates of a k and their quantum statistical characters are studied.
DOI
10.1117/12.130399

Related papers

MATHEMATICAL STRUCTURE OF THE EIGENSTATES OF OPERATOR ak AND THEIR PROPERTIES

Ji‐Suo Wang, 聊城师范学院物理系,聊城,252059

Based on the reference [1] , the mathematical and quantum statistical properties of the orthonormalized eigenstates of operator αk (k=3) are studied in this paper. It is found that all the orthonormalized eigenstates have nonclassical effects and they form a nonclassical complete representation. The result given by the reference [1] in the case k = 3 is only a special instance of the general conclusion of ours.

Acta Physica Sinica•Jan 1, 1991•4 citations

Nonclassical Properties of Orthonormalized Eigenstates of the Operator (a q f(N q )) k

Ji‐Suo Wang, Jian Feng, Tang-Kun Liu +1 more

International Journal of Theoretical Physics•Dec 1, 2002•1 citation

Matrix Elements and Density Matrices for Many-Electron Spin Eigenstates Built from Orthonormal Orbitals

Klaus Ruedenberg, R. D. Poshusta

Advances in quantum chemistry•Jan 1, 1972•39 citations

ORTHONORMALIZED EIGENSTATES OF OPERATOR αN AND THEIR PROPERTIES

PENG SHI-AN, Guo Guang-Can, (1)河北师范学院物理系,石家庄,050091; (2)中国科学技术大学物理系,合肥,230026

In this paper, a general method for constructing orthonormalized eigenstates of operator αN is presented. The emphasis is put on study of mathematical structure and quantum statistical properties in the case N=3. It is found that all the orthonorma-lizetl eigenstates have nonclassical effects and they form a nonclassical complete representation.

Acta Physica Sinica•Jan 1, 1990•6 citations

Quantum Statistic Properties of Eigenstates of the Annihilation Operator a k q s of Two Parameter Deformed Harmonic Oscillator.

J Wang, Chen Sun, Antonio Teng

•Jan 1, 1997•0 citations

Even and odd two-photon coherent states of the radiation field

Z. Z. Xin, D. B. Wang, Minoru Hirayama +1 more

The orthonormal eigenstates of the square of Yuen's operator b=\ensuremath{\mu}a+\ensuremath{\nu}${\mathit{a}}^{\mathrm{\ifmmode^\circ\else\textdegree\fi{}}}$ are constructed. Some mathematical and quantum statistical properties of them are discussed. A new class of minimum uncertainty state is found.

Physical Review A•Oct 1, 1994•40 citations