Elementary exponential error estimates for the adiabatic approximation

Journal of Mathematical Analysis and Applications

Volumn 267, Issue 1, 2002, Pages 235-246

  Hagedorn, George A ^a   Joye, Alain ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b INSTITUT FOURIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036501392     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7765     Document Type: Article

References (28)

1. Adiabatic theorems and applications to the quantum Hall effect
2. Histories of adiabatic quantum transitions
3. Beweis des Adiabatensatzes
4. Adiabatic perturbation of discrete spectrum states
5. "Méthodes Asymptotiques pour les Equations Différentielles Ordinaires Linéaires"
6. Generalized adiabatic invariance
7. Adiabatic expansions near eigenvalue crossings
8. The adiabatic theorem in the complex plane and the semi-classical calculation of non-adiabatic transition amplitudes
9. Exponential approach to the adiabatic limit and the Landau-Zener formula
10. Proof of the Landau-Zener formula
11. Exponential decay and geometric aspect of transition probabilities in the adiabatic limit
12. Exponentially small adiabatic invariant for the Schrödinger equation
13. Superadiabatic evolution and adiabatic transition probability between two non-degenerate levels isolated in the spectrum
14. Exponential estimates in adiabatic quantum evolution
15. On the adiabatic theorem of quantum mechanics
16. Adiabatic invariance to all orders
17. Superadiabatic tracking of quantum evolution
18. Precise exponential estimates in adiabatic theory
19. On the adiabatic theorem of quantum mechanics
20. Adiabatic theorems and spectral concentration
21. Asymptotic invariant subspaces, adiabatic theorems and block diagonalization
22. Linear adiabatic theory: Exponential estimates
23. Adiabatic theorem and the Gell-Mann-Low formula
24. Remarque sur des projecteurs adiabatiques du point de vue pseudodifférentiel
25. Non-adiabatic crossing of energy levels