On the fundamental solution of semiclassical Schrödinger equations at resonant times

Communications in Mathematical Physics

Volumn 216, Issue 2, 2001, Pages 357-373

  Martinez, André ^a   Yajima, Kenji ^b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035529603     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000331     Document Type: Article

References (6)

1. [F] Fujiwara, D.: Mathematical theory of Feynman path Integral. Tokyo: Springer-Verlag, 1999 (in Japanese)
2. [KK] Kitada, H., Kumano-go, H.: A family of Fourier Integral operators and the fundamental solution for a Schrödinger equation. Osaka J. Math. 18, 291-360 (1981)
3. [KRY] Kapitanski, L., Rodnianski, I., Yajima, K.: On the Fundamental Solution of a Perturbed Harmonic Oscillator. Topol. Methods Nonlinear Anal. 9, 77-106 (1997)
4. [Ro] Robert, D.: Autour de l'approximation semi-classique. Basel-Boston: Birkäuser, 1987
5. [Ya] Yajima, K.: On Fundamental Solution of Time Dependent Schrödinger Equations. Contemp. Math. 217, (1998)
6. [Ya-1 ] Yajima, K.: On the behavior at infinity of the fundamental solution of the time dependent Schrödinger equations. Preprint Series 2000-17, Graduate School of Mathematical Sciences, University of Tokyo, and to appear in Rev. Math. Phys.