Resonance width in crossed electric and magnetic field

Journal of Physics A: Mathematical and General

Volumn 37, Issue 31, 2004, Pages 7671-7697

  Ferrari, Christian ^a   Kovařík, Hynek ^b,c  

^a EPFL   (Switzerland)

^b UNIVERSITY OF STUTTGART   (Germany)

^c NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4043049501     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/31/003     Document Type: Article

References (22)

1. [AC] Aguilar J and Combes J M 1971 A class of analytic perturbations for one-body Schrödinger Hamiltonians Commun. Math. Phys. 22 269-79
2. [AH] Avron J E and Herbst I W 1977 Spectral and scattering theory of Schrödinger operators related to the Stark effect Commun. Math. Phys. 52 247-74
3. [BC] Balslev E and Combes J M 1971 Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions Commun, Math. Phys. 22 280-94
4. [BCD] Briet P, Combes J M and Duclos P 1989 Spectral stability under tunneling Commun. Math. Phys. 126 133-56
5. [BG] Bentosela F and Grecchi V 1991 Stark Wannier ladders Commun. Math. Phys. 142 169-92
6. [CN] Cornean H D and Nenciu G 1998 On eigenfunction decay of two dimensional magnetic Schrödinger operators Commun. Math. Phys. 192 671-85
7. [Er] Erdös L 1996 Gaussian decay of the magnetic eigenfunctions Geom. Funct. Anal. 6 231-48
8. [F] Ferrari C 2003 Aspects of two dimensional magnetic Schrödinger operators: Quantum Hall systems and magnetic stark resonances PhD Thesis Ecole Polytechnique Federale de Lausanne
9. [FM] Ferrari C and Macris N 2002 Intermixture of extended edge and localized bulk energy levels in macroscopic Hall systems J. Phys. A: Math. Gen. 35 6339-58
10. [GR] Gradshtein I S and Ryzhik I M 1980 Tables of Integrals, Series, and Products (New York: Academic)
11. [GM] Gyger S and Martin Ph A 1999 Lifetimes of impurity states in crossed magnetic and electric fields J. Math. Phys. 40 3275-82
12. [HaSi] Harrell E and Simon B 1980 The mathematical theory of resonances whose widths are exponentially small Duke Math. J. 47 845-902
13. [HS] Hislop P D and Sigal I M 1996 Introduction to Spectral Theory (New York: Springer)
14. [Ka] Kato T 1966 Perturbation Theory for Linear Operators (Heidelberg: Springer)
15. [MR] Melgaard M and Rozenblum G 2003 Eigenvalue asymptotics for weakly perturbed Dirac and Schrödinger operators with constant magnetic fields of full rank Commun. Partial Diff. Eqns 28 697-736
16. [Op] Oppenheimer R 1928 Three notes on the quantum theory of aperiodic effects Phys. Rev. 31 66-81
17. [Ra] Raikov G D Eigenvalue asymptotics for the Schrödinger operator with homogeneous magnetic potential and decreasing electric potential Commun. Partial Diff. Eqns 1990 407-34
18. [RS] Reed M and Simon B 1972 Methods of Modern Mathematical Physics: I. Functional Analysis (New York: Academic) Reed M and Simon B 1975 Methods of Modern Mathematical Physics: II. Fourier Analysis, Self-Adjointness (New York: Academic) Reed M and Simon B 1978 Methods of Modern Mathematical Physics: IV. Analysis of Operators (New York: Academic)
19. [RS] Reed M and Simon B 1972 Methods of Modern Mathematical Physics: I. Functional Analysis (New York: Academic) Reed M and Simon B 1975 Methods of Modern Mathematical Physics: II. Fourier Analysis, Self-Adjointness (New York: Academic) Reed M and Simon B 1978 Methods of Modern Mathematical Physics: IV. Analysis of Operators (New York: Academic)
20. [RS] Reed M and Simon B 1972 Methods of Modern Mathematical Physics: I. Functional Analysis (New York: Academic) Reed M and Simon B 1975 Methods of Modern Mathematical Physics: II. Fourier Analysis, Self-Adjointness (New York: Academic) Reed M and Simon B 1978 Methods of Modern Mathematical Physics: IV. Analysis of Operators (New York: Academic)
21. [Sig] Sigal I M 1988 Geometric theory of Stark resonances in multielectron systems Commun. Math. Phys. 119 287-314
22. [Ti] Titchmarsh E C 1958 Eigenfunction Expansions Associated with Second Order Differential Equations (Oxford: Oxford University Press)