Singularities of solutions of some Schrödinger equations on {{𝑅}}ⁿ

Singularities of solutions of some Schrödinger equations on $\{\text \{R\}\}^n$
HTML articles powered by AMS MathViewer

by Alan Weinstein and Steven Zelditch PDF

Bull. Amer. Math. Soc. 6 (1982), 449-452

References

F. A. Berezin and M. A. Šubin, Symbols of operators and quantization, Hilbert space operators and operator algebras (Proc. Internat. Conf., Tihany, 1970) Colloq. Math. Soc. János Bolyai, vol. 5, North-Holland, Amsterdam, 1972, pp. 21–52. MR 0366281
Gerald B. Folland, Introduction to partial differential equations, Mathematical Notes, Princeton University Press, Princeton, N.J., 1976. Preliminary informal notes of university courses and seminars in mathematics. MR 0599578
V. Guillemin and S. Sternberg, The metaplectic representation, Weyl operators and spectral theory, J. Functional Analysis 42 (1981), no. 2, 128–225. MR 624366, DOI 10.1016/0022-1236(81)90042-2
Jean-Marie Souriau, Interprétation géométrique des états quantiques, Differential geometrical methods in mathematical physics (Proc. Sympos., Univ. Bonn, Bonn, 1975) Lecture Notes in Math., Vol. 570, Springer, Berlin, 1977, pp. 76–96 (French). MR 0471513
A. Voros, Asymptotic $\hbar$-expansions of stationary quantum states, Ann. Inst. H. Poincaré Sect. A (N.S.) 26 (1977), no. 4, 343–403 (English, with French summary). MR 456138
Alan Weinstein, A symbol class for some Schrödinger equations on $\textbf {R}^n$, Amer. J. Math. 107 (1985), no. 1, 1–21. MR 778086, DOI 10.2307/2374454