Quantum revivals and carpets in some exactly solvable systems

被引:22
作者
Loinaz, W [1 ]
Newman, TJ [1 ]
机构
[1] Virginia Polytech Inst & State Univ, Dept Phys, Blacksburg, VA 24061 USA
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 50期
关键词
D O I
10.1088/0305-4470/32/50/309
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the revival properties of quantum systems with an eigenspectrum E-n proportional to n(2), and compare them with the simplest member of this class-the infinite square well. In addition to having perfect revivals at integer multiples of the revival time t(R), these systems all enjoy perfect fractional revivals at quarterly intervals of t(R). A closer examination of the quantum evolution is performed for the Poschel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.
引用
收藏
页码:8889 / 8895
页数:7
相关论文
共 21 条
[1]   GENERATION AND DETECTION OF RYDBERG WAVE-PACKETS BY SHORT LASER-PULSES [J].
ALBER, G ;
RITSCH, H ;
ZOLLER, P .
PHYSICAL REVIEW A, 1986, 34 (02) :1058-1064
[2]   Fractional wave-function revivals in the infinite square well [J].
Aronstein, DL ;
Stroud, CR .
PHYSICAL REVIEW A, 1997, 55 (06) :4526-4537
[3]   FRACTIONAL REVIVALS - UNIVERSALITY IN THE LONG-TERM EVOLUTION OF QUANTUM WAVE-PACKETS BEYOND THE CORRESPONDENCE PRINCIPLE DYNAMICS [J].
AVERBUKH, IS ;
PERELMAN, NF .
PHYSICS LETTERS A, 1989, 139 (09) :449-453
[4]   The evolution and revival structure of localized quantum wave packets [J].
Bluhm, R ;
Kostelecky, VA ;
Porter, JA .
AMERICAN JOURNAL OF PHYSICS, 1996, 64 (07) :944-953
[5]   Asymptotic statistics of Poincare recurrences in Hamiltonian systems with divided phase space [J].
Chirikov, BV ;
Shepelyansky, DL .
PHYSICAL REVIEW LETTERS, 1999, 82 (03) :528-531
[6]  
COOPER F, 1995, PHYS REP, V251, P268
[7]   PRODUCT FORMULA ALGORITHMS FOR SOLVING THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].
DERAEDT, H .
COMPUTER PHYSICS REPORTS, 1987, 7 (01) :1-72
[8]   MANIFESTATIONS OF WAVE-PACKET FRACTIONAL REVIVALS IN A MORSE-LIKE ANHARMONIC SYSTEM [J].
ERYOMIN, VV ;
VETCHINKIN, SI ;
UMANSKII, IM .
JOURNAL OF CHEMICAL PHYSICS, 1994, 101 (12) :10730-10735
[9]   Spacetime structures in simple quantum systems [J].
Grossmann, F ;
Rost, JM ;
Schleich, WP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (09) :L277-L283
[10]   COHERENT STATES FOR GENERAL POTENTIALS .5. TIME EVOLUTION [J].
GUTSCHICK, VP ;
NIETO, MM .
PHYSICAL REVIEW D, 1980, 22 (02) :403-418