FRACTIONAL LEGENDRE TRANSFORMATION

被引：4

作者：

ALONSO, MA ^{[1
]}

FORBES, GW ^{[1
]}

机构：

[1] UNIV ROCHESTER,INST OPT,ROCHESTER,NY 14627

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 19期

关键词：

D O I：

10.1088/0305-4470/28/19/008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new transformation is defined that connects a function and its Legendre transform by means of a continuous free parameter. The cyclic behaviour of consecutive Legendre transformations is reflected in the periodic dependence of the new transform on this parameter. This transformation opens new options wherever the conventional Legendre transformation is used (including mechanics, thermodynamics and optics) and is suggestively derived here by considering the geometrical-optics limit of a diffraction integral. The connection to a classical limit of the fractional Fourier transformation is also established and the mathematical and geometrical properties of the transformation are demonstrated.

引用

页码：5509 / 5527

页数：19

共 25 条

[1]

ALONSO MA, 1995, IN PRESS J OPT SOC A

[2]

BECK M, 1993, OPT LETT, V18, P2041, DOI 10.1364/OL.18.002041

[3] SEMICLASSICAL APPROXIMATIONS IN WAVE MECHANICS [J].