Discrete time adiabatic theorems for quantum mechanical systems

被引：17

作者：

Dranov, A ^{[1
]}

Kellendonk, J ^{[1
]}

Seiler, R ^{[1
]}

机构：

[1] Tech Univ Berlin, Fachbereich Math, D-10623 Berlin, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 03期

关键词：

D O I：

10.1063/1.532382

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The theory of adiabatic asymptotics is adapted to systems with discrete time evolution. The corresponding theorems about the approximation of physical time evolution by the adiabatic time evolution are shown to hold true in a discrete setting. (C) 1998 American Institute of Physics.

引用

页码：1340 / 1349

页数：10

共 50 条

[1] Discrete time adiabatic theorems for quantum mechanical systems
Dranov, A.
Kellendonk, J.
Seiler, R.
Journal of Mathematical Physics, 39 (03):
[2] Generalized Adiabatic Theorems: Quantum Systems Driven by Modulated Time-Varying Fields
Dodin, Amro
Brumer, Paul
PRX QUANTUM, 2021, 2 (03):
[3] Adiabatic Theorems for Quantum Resonances
Walid K. Abou Salem
Jürg Fröhlich
Communications in Mathematical Physics, 2007, 273 : 651 - 675
[4] Adiabatic theorems for quantum resonances
Abou Salem, Walid K.
Froehlich, Juerg
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 273 (03) : 651 - 675
[5] ADIABATIC EVOLUTION OF QUANTUM-MECHANICAL SYSTEMS
VIDAL, J
WUDKA, J
PHYSICAL REVIEW A, 1991, 44 (09): : 5383 - 5389
[6] APPROXIMATION THEOREMS FOR DISCRETE-TIME-SYSTEMS
SANDBERG, IW
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (05): : 564 - 566
[7] ADIABATIC THEOREM FOR FINITE DIMENSIONAL QUANTUM MECHANICAL SYSTEMS
Katanaev, M. O.
RUSSIAN PHYSICS JOURNAL, 2011, 54 (03) : 342 - 353
[8] Adiabatic theorem for finite dimensional quantum mechanical systems
M. O. Katanaev
Russian Physics Journal, 2011, 54 : 342 - 353
[9] HYPERVIRIAL THEOREMS AND ENCLOSED QUANTUM-MECHANICAL SYSTEMS
FERNANDEZ, FM
CASTRO, EA
PHYSICAL REVIEW A, 1981, 24 (05): : 2344 - 2352
[10] Absorption probabilities of discrete quantum mechanical systems
Kuklinski, Parker
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (40)

← 1 2 3 4 5 →