Matrix Elements of Arbitrary Exponential Quadratic Operator in Multi－ Dimensional Phase Space | Zendy

Xu Xiu-Wei | Zendy; Zhao Ji-de | Zendy; Ren Ting-Qi | Zendy

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Matrix Elements of Arbitrary Exponential Quadratic Operator in Multi－ Dimensional Phase Space

Author(s) -

Xu Xiu-Wei,

Zhao Ji-de,

Ren Ting-Qi

Publication year - 2000

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.49.17

Subject(s) - eigenfunction , exponential function , quadratic equation , operator (biology) , hamiltonian (control theory) , phase space , matrix (chemical analysis) , quartic function , energy operator , physics , mathematical analysis , mathematics , eigenvalues and eigenvectors , quantum mechanics , energy (signal processing) , pure mathematics , mathematical optimization , biochemistry , geometry , chemistry , materials science , repressor , transcription factor , composite material , gene

Utilizing the normal and antinomal product representative of exponential quadrat ic operator　in multidimensional phase space we give the exact expressions of matrix element for arbitrary exponential quadratic operator. Thus we derive the partition function and wave function of the system of quadratic Hamiltonian with out the knowledge of energy spectrum and eigenfunctions.

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