The discrete fractional Fourier transform and Harper's equation

被引:7
作者
Barker, L [1 ]
机构
[1] Bilkent Univ, Dept Math, TR-06533 Bilkent, Ankara, Turkey
关键词
D O I
10.1112/S0025579300015898
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
It is shown that the discrete fractional Fourier transform recovers the continuum fractional Fourier transform via a limiting process whereby inner products are preserved.
引用
收藏
页码:281 / 297
页数:17
相关论文
共 20 条
[1]
ATAKISHIEV NM, 1990, TEOR MAT FIZ, V85, P64
[2]
COHERENT STATES IN FINITE QUANTUM-MECHANICS [J].
ATHANASIU, GG ;
FLORATOS, EG .
NUCLEAR PHYSICS B, 1994, 425 (1-2) :343-364
[3]
Holomorphic quantization on the torus and finite quantum mechanics [J].
Athanasiu, GG ;
Floratos, EG ;
Nicolis, S .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (21) :6737-6745
[4]
BALIAN R, 1986, CR ACAD SCI I-MATH, V303, P773
[5]
The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform [J].
Barker, L ;
Candan, C ;
Hakioglu, T ;
Kutay, MA ;
Ozaktas, HM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (11) :2209-2222
[6]
Continuum quantum systems as limits of discrete quantum systems, I: State vectors [J].
Barker, L .
JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 186 (01) :153-166
[7]
BARKER L, PHASE SPACE OVER ABE
[8]
CANDAN C, 1999, P 1999 IEEE INT C AC, V3, P1713
[9]
CANDAN C, 1998, THESIS BILKENT U
[10]
Linear canonical transformations and quantum phase: a unified canonical and algebraic approach [J].
Hakioglu, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (22) :4111-4130