Gaussian decay estimates for the eigenfunctions of magnetic Schrödinger operators

Communications in Partial Differential Equations

Volumn 21, Issue 5-6, 1996, Pages 993-1006

  Nakamura, Shu ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000390187     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309608821214     Document Type: Article

References (10)

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2. Aguilar, J., Cornbes, J. M.: A class of analytic perturbations for one-body Schrödinger Hamiltonians. Commun. Math. Phys. 22, 269-279 (1971).
3. Balslev, E., Combes, J. M.: Spectral properties of many-body Schrödinger operators with dilation-analytic interactions. Commun. Math. Phys. 22, 280-294 (1971).
4. Cycon, H. L., Froese, R. G., Kirsch, W., Simon, B.: Schrödinger Operators, (with Applications to Quantum Mechanics and Global Geometry), Springer Verlag 1987.
5. Erdös, L.: Gaussian decay of the magnetic eigenfunctions. Preprint 1995, ETH-Zentrum, Zürich.
6. Hunziker, W.: Distortion analyticity and molecular resonance curves. Ann. Inst. H. Poincaré, (phys. théo.) 45, 339-358 (1986).
7. Kato, T.: Perturbation Theory for Linear Operators (Second Edition). Springer Verlag, 1972.
8. Martinez, A.: Estimates on complex interactions in phase space. Math. Nachr. 167, 203-254 (1994).
9. Nakamura, S.: On Martinez' method of phase space tunnenling. Rev. Math. Phys. 7, 431-441 (1995)
10. Nakamura, S.: On an example of phase-space tunneling. Ann. Inst. H. Poincaré (phys. théo.) 63, 211-229 (1995)