ASYMPTOTIC FORMULAS FOR 2-VARIABLE HERMITE-POLYNOMIALS

被引：21

作者：

DODONOV, VV ^{[1
]}

机构：

[1] MOSCOW INST PHYS & TECHNOL,ZHUKOVSKII 140160,RUSSIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 18期

关键词：

D O I：

10.1088/0305-4470/27/18/027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

New asymptotic formulae for the two-dimensional Hermite polynomials with large values of indices are found. The applications to the photon distribution functions in squeezed one-mode mixed quantum states are considered.

引用

页码：6191 / 6203

页数：13

共 38 条

[1] ORDERED MOMENTS IN THE CASE OF A ONE-MODE RADIATION-FIELD WITH GAUSSIAN WIGNER FUNCTIONS [J].

ADAM, G .

PHYSICS LETTERS A, 1992, 171 (1-2) :66-70

[2] PHOTON DISTRIBUTIONS FOR NONCLASSICAL FIELDS WITH COHERENT COMPONENTS [J].

AGARWAL, GS ;

ADAM, G .

PHYSICAL REVIEW A, 1989, 39 (12) :6259-6266

[3] PHOTON-NUMBER DISTRIBUTIONS FOR QUANTUM-FIELDS GENERATED IN NONLINEAR OPTICAL PROCESSES [J].

AGARWAL, GS ;

ADAM, G .

PHYSICAL REVIEW A, 1988, 38 (02) :750-753

[4]

[Anonymous], 1926, FONCTIONS HYPERGEOME

[5] MODE COUPLING IN FIRST-ORDER OPTICS [J].

ARNAUD, JA .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1971, 61 (06) :751-&

[6]

CHERNIKOV NA, 1967, ZH EKSP TEOR FIZ, V53, P1006

[7] COHERENT STATES OF A CHARGED-PARTICLE IN A TIME-DEPENDENT UNIFORM ELECTROMAGNETIC FIELD OF A PLANE CURRENT [J].

DODONOV, VV ;

MANKO, VI ;

MALKIN, IA .

PHYSICA, 1972, 59 (02) :241-&

[8] PHOTON DISTRIBUTION FOR ONE-MODE MIXED LIGHT WITH A GENERIC GAUSSIAN WIGNER FUNCTION [J].

DODONOV, VV ;

MANKO, OV ;

MANKO, VI .

PHYSICAL REVIEW A, 1994, 49 (04) :2993-3001

[9] THE DENSITY-MATRIX OF THE CANONICALLY TRANSFORMED MULTIDIMENSIONAL HAMILTONIAN IN THE FOCK BASIS [J].

DODONOV, VV ;

MANKO, VI ;

SEMJONOV, VV .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1984, 83 (02) :145-161

[10] PHOTON NUMBER OSCILLATION IN CORRELATED LIGHT [J].

DODONOV, VV ;

KLIMOV, AB ;

MANKO, VI .

PHYSICS LETTERS A, 1989, 134 (04) :211-216

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