TIME-DEPENDENT OSCILLATOR WITH KRONIG-PENNEY EXCITATION

被引:21
作者
DODONOV, VV
MANKO, OV
MANKO, VI
机构
[1] Lebedev Physics Institute, 117924 Moscow
关键词
D O I
10.1016/0375-9601(93)90843-O
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Exact solutions of the time-dependent Schrodinger equation for a quantum oscillator subject to periodical frequency delta-kicks are obtained. We show that the oscillator occurs in the squeezed state and calculate the corresponding squeezing coefficients and the energy increase rate in terms of Chebyshev polynomials.
引用
收藏
页码:1 / 4
页数:4
相关论文
共 10 条
[1]  
DODONOV VV, 1989, P LEBEDEV PHYSICS I, V183
[2]  
DODONOV VV, 1992, SQUEEZED CORRELATED
[3]   MISCELLANEA IN ELEMENTARY QUANTUM MECHANICS .2. [J].
HUSIMI, K .
PROGRESS OF THEORETICAL PHYSICS, 1953, 9 (04) :381-402
[4]   Quantum mechanics of electrons on crystal lattices [J].
Kronig, RD ;
Penney, WG .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1931, 130 (814) :499-513
[5]   AN EXACT QUANTUM THEORY OF TIME-DEPENDENT HARMONIC OSCILLATOR AND OF A CHARGED PARTICLE IN A TIME-DEPENDENT ELECTROMAGNETIC FIELD [J].
LEWIS, HR ;
RIESENFELD, WB .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (08) :1458-+
[6]  
MAITLAND A, 1969, LASER PHYSICS
[7]   COHERENT STATES AND EXCITATION OF N-DIMENSIONAL NON-STATIONARY FORCED OSCILLATOR [J].
MALKIN, IA ;
MANKO, VI .
PHYSICS LETTERS A, 1970, A 32 (04) :243-&
[8]   A DELTA-WELL MODEL FOR SOLID-STATE TUNNELLING [J].
SCHNUPP, P .
SOLID-STATE ELECTRONICS, 1967, 10 (08) :785-&
[9]   TRANSFER-MATRIX APPROACH TO SURFACE-STATES [J].
SENGUPTA, D ;
GHOSH, PK .
PHYSICS LETTERS A, 1978, 68 (01) :107-108
[10]  
Szego G., 1959, C PUBL, V23