|
Remarks on the quantum adiabatic theorem
Author(s):
V.
S.
Buslaev;
E.
A.
Grinina
Translated by:
A. Plotkin
Original publication:
Algebra i Analiz,
tom 16
(2004),
vypusk 4.
Journal:
St. Petersburg Math. J.
16
(2005),
639-648.
MSC (2000):
Primary 81Q15
Posted:
June 21, 2005
MathSciNet review:
2090850
Retrieve article in:
PDF
This article is available free of charge
References |
Similar articles |
Additional information
References:
-
- [ASY]
- J. E. Avron, R. Seiler, and L. G. Yaffe, Adiabatic theorems and applications to the quantum Hall effect, Comm. Math. Phys. 110 (1987), no. 1, 33-49. MR 0885569 (88i:81055)
- [BF]
- M. Born and V. Fock, Beweis des Adiabatensatzes, Z. Phys. 51 (1928), 165-169.
- [DK]
- Yu. L. Daletskii and M. G. Krein, Stability of solutions of differential equations in Banach space, ``Nauka'', Moscow, 1970; English transl., Transl. Math. Monogr., vol. 43, Amer. Math. Soc., Providence, RI, 1974. MR 0352638 (50:5125); MR 0352639 (50:5126)
- [G]
- L. M. Garrido, Generalized adiabatic invariance, J. Math. Phys. 5 (1964), 355-362. MR 0168283 (29:5547)
- [K]
- T. Kato, Perturbation theory for linear operators, Grundlehren Math. Wiss., vol. 132, Springer-Verlag, New York, 1966. MR 0203473 (34:3324)
- [K1]
- -, On the adiabatic theorem of quantum mechanics, J. Phys. Soc. Japan 5 (1950), 435-439.
- [K2]
- S. G. Krein, Linear differential equations in Banach space, ``Nauka'', Moscow, 1967; English transl., Transl. Math. Monogr., vol. 29, Amer. Math. Soc., Providence, RI, 1971. MR 0247239 (40:508)
- [N]
- G. Nenciu, On the adiabatic theorem of quantum mechanics, J. Phys. A 13 (1980), no. 2, L15-L18. MR 0558631 (80k:81071)
Similar Articles:
Retrieve articles in St. Petersburg Mathematical Journal
with MSC
(2000):
81Q15
Retrieve articles in all Journals with MSC
(2000):
81Q15
Additional Information:
V.
S.
Buslaev
Affiliation:
Department of Physics, St. Petersburg State University, Ulyanovskaya 1, Petrodvorets, St. Petersburg 198054, Russia
Email:
buslaev@mph.phys.spbu.ru
E.
A.
Grinina
Affiliation:
Department of Physics, St. Petersburg State University, Ulyanovskaya 1, Petrodvorets, St. Petersburg 198054, Russia
Email:
kategrin@peterlink.ru
DOI:
10.1090/S1061-0022-05-00870-8
PII:
S 1061-0022(05)00870-8
Keywords:
Adiabatic theorem,
higher order corrections
Received by editor(s):
14/JAN/2004
Posted:
June 21, 2005
Additional Notes:
Supported by RFBR (grant 02-01-000798).
Copyright of article:
Copyright
2005,
American Mathematical Society
|
