Semiclassical quantum mechanics, IV : large order asymptotics and more general states in more than one dimension
Hagedorn, George A.
Annales de l'I.H.P. Physique théorique, Tome 43 (1985), p. 363-374 / Harvested from Numdam
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@article{AIHPA_1985__42_4_363_0,
     author = {Hagedorn, George A.},
     title = {Semiclassical quantum mechanics, IV : large order asymptotics and more general states in more than one dimension},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {43},
     year = {1985},
     pages = {363-374},
     mrnumber = {801234},
     zbl = {0900.81053},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1985__42_4_363_0}
}

Hagedorn, George A. Semiclassical quantum mechanics, IV : large order asymptotics and more general states in more than one dimension. Annales de l'I.H.P. Physique théorique, Tome 43 (1985) pp. 363-374. http://gdmltest.u-ga.fr/item/AIHPA_1985__42_4_363_0/

[1] J.-M. Combes, P. Duclos, R. Seiler, Krein's Formula and One-Dimensional Multiple-Well. J. Functional Analysis, t. 52, 1983, p. 257-301. | MR 707207 | Zbl 0562.47002

[2] J.-M. Combes, P. Duclos and R. Seiler, A Perturbative Method for Tunneling, in Mathematical Physics VII, ed. by W. E. Brittin, K. E. Gustafson and W. Wyss. Amsterdam: North Holland Physics Publishing, 1984.

[3] G.A. Hagedorn, Semiclassical Quantum Mechanics I: The ħ → 0 Limit for Coherent States. Commun. Math. Phys., t. 71, 1980, p. 77-93. | MR 556903

[4] G.A. Hagedorn, Semiclassical Quantum Mechanics III: The Large Order Asymptotics and More General States. Ann. Phys., t. 135, 1981, p. 58-70. | MR 630204

[5] G.A. Hagedorn, A Particle Limit for the Wave Equation with a Variable Wave Speed. Comm. Pure Appl. Math., t. 37, 1984, p. 91-100. | MR 728267 | Zbl 0509.35050

[6] G.A. Hagedorn, M. Loss and J. Slawny, Non-Stochasticity of Time Dependent Quadratic Hamiltonians and the Spectra of Canonical Transformations. J. Phys. A. (to appear). | MR 833433 | Zbl 0601.70013

[7] E.J. Heller, Time Dependent Approach to Semiclassical Dynamics. J. Chem. Phys., t. 62, 1975, p. 1544-1555.

[8] E.J. Heller and S.-Y. Lee, Exact Time-Dependent Wave Packet Propagation: Application to the Photodissociation of Methyl Iodide. J. Chem. Phys., t. 76, 1982, p. 3035-3044.

[9] K. Hepp, The Classical Limit for Quantum Mechanical Correlation Functions. Commun. Math. Phys., t. 35, 1974, p. 265-277. | MR 332046

[10] J.V. Ralston, Gaussian Beams and the Propagation of Singularities, in Studies in Partial Differential Equations, ed. by W. Littman. MAA Studies in Mathematics, t. 23, Mathematical Association of America, 1982. | MR 716507 | Zbl 0533.35062

[11] B. Simon, Semiclassical Analysis of Low Lying Eigenvalues I. Non-Degenerate Minima : Asymptotic Expansions. Ann. Inst. H. Poincaré, t. 38, 1983, p. 295-308. | Numdam | MR 708966 | Zbl 0526.35027

[12] B. Simon, Semiclassical Analysis of Low Lying Eigenvalues II. Tunneling. California Institute of Technology Preprint. 1984. | MR 750717 | Zbl 0626.35070

[13] W.R.E. Weiss and G.A. Hagedorn, Reflection and Transmission of High Frequency Pulses at an Interface. Trnspt. Theory Stat. Phys. (to appear). | MR 813497 | Zbl 0614.35052

[14] K. Yajima, The Quasi-Classical Limit of Quantum Scattering Theory. Commun. Math. Phys., t. 69, 1979, p. 101-130. | Zbl 0425.35076

[15] K. Yajima, The Quasi-Classical Limit of Scattering Amplitude I. Finite Range Potentials. University of Tokyo Preprint. 1984.