LINEAR ADIABATIC THEORY - EXPONENTIAL ESTIMATES

被引：117

作者：

NENCIU, G

机构：

[1] Institut für Theoretische Physik, Universität Zürich, Zürich, CH-8001

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 152卷 / 03期

关键词：

D O I：

10.1007/BF02096616

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general adiabatic expansion is written down. The basic result is that, under appropriate smoothness conditions, the adiabatic estimations can be pushed up to exponential order. The results imply exponential estimates not only for hamiltonians analytic in a neighbourhood of the real axis but also for hamiltonians which (in an appropriate sense) beong to Gevrey classes.

引用

页码：479 / 496

页数：18

共 29 条

[1]

[Anonymous], 1966, PERTURBATION THEORY

[2] ADIABATIC THEOREMS FOR DENSE POINT SPECTRA [J].

AVRON, JE ;

HOWLAND, JS ;

SIMON, B .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 128 (03) :497-507

[3] ADIABATIC THEOREMS AND APPLICATIONS TO THE QUANTUM HALL-EFFECT [J].

AVRON, JE ;

SEILER, R ;

YAFFE, LG .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 110 (01) :33-49

[4] HISTORIES OF ADIABATIC QUANTUM TRANSITIONS [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 429 (1876) :61-72

[5] GEOMETRIC AMPLITUDE FACTORS IN ADIABATIC QUANTUM TRANSITIONS [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 430 (1879) :405-411

[6] QUANTUM PHASE CORRECTIONS FROM ADIABATIC ITERATION [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1987, 414 (1846) :31-46

[7] Proof of Adiabatic law [J].

Born, M. ;

Fock, V. .

ZEITSCHRIFT FUR PHYSIK, 1928, 51 (3-4) :165-180

[8]

DEMONVELBERTHIER AB, 1990, CR ACAD SCI I-MATH, V310, P807

[9]

GARRIDO LM, 1964, J MATH PHYS, V5, P335

[10] ADIABATIC EXPANSIONS NEAR EIGENVALUE CROSSINGS [J].

HAGEDORN, GA .

ANNALS OF PHYSICS, 1989, 196 (02) :278-295

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