Some remarks on semi-classical analysis for the eigenvalues of a Schrödinger operator with electro-magnetic wells

Author:

ARAMAKI Junichi1

Affiliation:

1. DEPARTMENT OF MATHEMATICAL SCIENCES TOKYO DENKI UNIVERSITY

Publisher

Mathematical Society of Japan (JST)

Subject

General Mathematics

Reference13 articles.

1. [1] S. Agmon, Lectures on Exponential Decay of Solutions of Second Order Elliptic Equations, Math. Notes, Vol. 29, Princeton Univ. Press, Princeton, NJ (1982).

2. [2] H. L. Cycon, R.G. Froese, W. Kirsch and B. Simon, Schrödinger Operators with Applications to Quantum Mechanics and Global Geometry, Texts and Monographs in Physics, Springer-Verlag, New York-Berlin, 1986.

3. [3] B. Helffer, Partial Differential Equations on Nilpotent Groups, Lecture Notes in Math., Vol. 1077, Springer-Verlag, Berlin, 1984, pp.210-254.

4. [4] B. Helffer, Semi-classical analysis for the Schrödinger operator and applications, Lecture Notes in Math., Vol. 1336, Springer-Verlag, Berlin, 1988.

5. [5] B. Helffer and J. Nourrigat, Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs, Birkhäuser, Boston, 1985.

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