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Robert, Didier

Remarks on a paper of S. Zelditch: ”Szegoe limit theorems in quantum mechanics”. (English) Zbl 0524.35082

J. Funct. Anal. 53, 304-308 (1983).
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MSC:

35P20 Asymptotic distributions of eigenvalues in context of PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application

Keywords:

Szegoe limit theorems

Citations:

Zbl 0392.35056
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\textit{D. Robert}, J. Funct. Anal. 53, 304--308 (1983; Zbl 0524.35082)
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References:

[1] Beals, R, A general calculus of pseudodifferential operators, Duke math. J., 42, 1-42, (1975) · Zbl 0343.35078
[2] Berezin, F.A, Wick and anti-Wick operators symbols, Math. USSR-sb., 15, 577-606, (1971) · Zbl 0247.47018
[3] Davies, E.B, Classical approximations to Gibbs states, (), 521-527 · Zbl 0456.46056
[4] Helffer, B; Robert, D, Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques, Ann. inst. Fourier (Grenoble), 31, 3, 169-223, (1981) · Zbl 0451.35022
[5] Hormander, L, The Weyl calculus of pseudodifferential operators, Comm. pure appl. math., 32, 359-443, (1979) · Zbl 0388.47032
[6] Hormander, L, On the asymptotic distribution of the eigenvalues of pseudodifferential operators in \(R\)^{n}, Ark. mat., 17, 2, 297-313, (1979) · Zbl 0436.35064
[7] Guillemin, V, Some classical theorems in spectral theory revisited, () · Zbl 0452.35093
[8] Keldys, M.V, On a Tauberian theorem, (), 77-86, [Russian]
[9] Mackey, G.W, Mathematical foundations of quantum mechanics, (1963), Benjamin New York · Zbl 0114.44002
[10] Robert, D, Propriétés spectrales d’opérateurs pseudodifférentiels, Comm. partial differential equations, 3, 9, 755-826, (1978) · Zbl 0392.35056
[11] Robert, D, Comportement asymptotique des valeurs propers d’opérateurs du type Schrödinger à potentiel “dégénéré,”, J. math. pures appl., 61, 275-300, (1982) · Zbl 0511.35069
[12] Tulovskii, V.N; Subin, M.A, On asymptotic distribution of eigenvalues of pseudodifferential operators in \(R\)^{n}, Math. USSR-sb., 21, 4, 565-583, (1973) · Zbl 0295.35068
[13] Widom, H, Eigenvalue distribution theorems for certain homogeneous space, J. funct. anal., 32, 139-147, (1979) · Zbl 0414.43010
[14] Zelditch, S, Szegö limit theorems in quantum mechanics, J. funct. anal., 50, 67-80, (1983) · Zbl 0552.35019
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.