OPERATOR METHOD FOR CALCULATING Q SYMBOLS AND THEIR RELATION TO WEYL-WIGNER SYMBOLS AND SYMPLECTIC TOMOGRAM SYMBOLS

被引：5

作者：

Andreev, V. A. ^{[1
]}

Davidovic, L. D. ^{[2
]}

Davidovic, Milena D. ^{[3
]}

Davidovic, Milos D. ^{[4
]}

Manko, V. I. ^{[1
]}

Manko, M. A. ^{[1
]}

机构：

[1] RAS, PN Lebedev Phys Inst, Moscow 117901, Russia

[2] Univ Belgrade, Inst Phys, Belgrade, Serbia

[3] Univ Belgrade, Fac Civil Engn, Belgrade, Serbia

[4] Univ Belgrade, Inst Nucl Sci Vinca, Belgrade, Serbia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2014年 / 179卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

quantum mechanics; Husimi function; Wigner function; symplectic tomogram; scaling transformation; QUANTUM; REPRESENTATION;

D O I：

10.1007/s11232-014-0162-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a new method for calculating Husimi symbols of operators. In contrast to the standard method, it does not require using the anti-normal-ordering procedure. According to this method, the coordinate and momentum operators (q) over cap and (p) over cap are assigned other operators (X) over cap and (P) over cap satisfying the same commutation relations. We then find the result of acting with the (X) over cap and (P) over cap operators and also polynomials in these operators on the Husimi function. After the obtained expression is integrated over the phase space coordinates, the integrand becomes a Husimi function times the symbol of the operator chosen to act on that function. We explicitly evaluate the Husimi symbols for operators that are powers of (X) over cap or (P) over cap.

引用

页码：559 / 573

页数：15

共 27 条

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