Tunneling estimates for magnetic Schrödinger operators

Communications in Mathematical Physics

Volumn 200, Issue 1, 1999, Pages 25-34

  Nakamura, Shu ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033248104     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050520     Document Type: Article

References (13)

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2. 2. Helffer, B.: Semi-Classical Analysis for the Schrödinger Operator and Applications. Springer Lecture Notes in Math. 1336 Berlin-Heidelberg-New York: Springer-Verlag, 1988
3. 3. Helffer, B., Sjöstrand, J.: Multiple wells in the semiclassical limit. Comm. P. D. E. 9, 337-408 (1984)
4. 4. Helffer, B., Sjöstrand, J.: Effet tunnel pour l'équation de Schrödinger avec champ magnétique. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 14, 625-657 (1987)
5. 5. Erdös, L.: Gaussian decay of the magnetic eigenfunctions. Geom. Funct. Anal. 6, 231-248 (1996)
6. 6. Martinez, A.: Estimates on complex interactions in phase space. Math. Nachr. 167, 203-254 (1994)
7. 7. Martinez, A.: Microlocal exponential estimates and applications totunneling. In: Microlocal Analysis and Spectral Theoru, Ser. C, 490, L. Rondino ed., 1997
8. 8. Nakamura, S.: On Martinez' method of phase space tunnenling. Rev. Math. Phys. 7, 431-441 (1995)
9. 9. Nakamura, S.: On an example of phase-space tunneling. Ann. Inst. H. Poincaré (Phys. Théo.) 63, 211-229 (1995)
10. 10. Nakamura, S.: Gaussian decay estimates for the eigenfunctions of magnetic Schrödinger operators. Comm. P. D. E. 21, 993-1006 (1996)
11. 11. Nakamura, S.: Agmon-type exponential decay estimates for pseudodifferential operators. To appear in J. Math. Sci. Univ. Tokyo
12. 12. Simon, B.: Semiclassical analysis of low-lying eigenvalues. II. Tunneling. Ann. Math. 120, 89-118 (1984)
13. 13. Sordoni, V.: Gaussian decay for the eigenfunctions of a Schrodinger operator with magnetic field constant at infinity. To appear in Comm. P. D. E. Commun. Math. Phys. 200, 35-41 (1999)