@article{AIHPA_1985__42_1_73_0, author = {Jona-Lasinio, G. and Martinelli, F. and Scoppola, E.}, title = {Multiple tunnelings in d-dimensions : a quantum particle in a hierarchical potential}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {73--108}, publisher = {Gauthier-Villars}, volume = {42}, number = {1}, year = {1985}, mrnumber = {794366}, zbl = {0586.35030}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1985__42_1_73_0/} }
TY - JOUR AU - Jona-Lasinio, G. AU - Martinelli, F. AU - Scoppola, E. TI - Multiple tunnelings in d-dimensions : a quantum particle in a hierarchical potential JO - Annales de l'I.H.P. Physique théorique PY - 1985 SP - 73 EP - 108 VL - 42 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1985__42_1_73_0/ LA - en ID - AIHPA_1985__42_1_73_0 ER -
%0 Journal Article %A Jona-Lasinio, G. %A Martinelli, F. %A Scoppola, E. %T Multiple tunnelings in d-dimensions : a quantum particle in a hierarchical potential %J Annales de l'I.H.P. Physique théorique %D 1985 %P 73-108 %V 42 %N 1 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1985__42_1_73_0/ %G en %F AIHPA_1985__42_1_73_0
Jona-Lasinio, G.; Martinelli, F.; Scoppola, E. Multiple tunnelings in d-dimensions : a quantum particle in a hierarchical potential. Annales de l'I.H.P. Physique théorique, Tome 42 (1985) no. 1, pp. 73-108. http://www.numdam.org/item/AIHPA_1985__42_1_73_0/
[1] Quantum Particle in a hierarchical potential with tunneling over arbitrarily large scales. Preprint Université Paris VI. PAR LPTHE 84/09. March 1984. To appear in J. Phys. A : Math. and Gen. | MR
, , ,[2] New Approach to the Semiclassical Limit of Quantum Mechanics. I. Multiple tunneling in one dimension. Comm. Math. Phys., t. 80, 1981, p. 223-254. , , , The Semiclassical Limit of Quantum Mechanics: a qualitative theory via Stochastic Mechanics. Phys. Rep., t. 77, n° 3, 1981, p. 313-327. A different approach to the same kind of problems has been developed recently by and , Multiple Wells in the Semiclassical Limit. I. To appear in CPDE. Puits Multiples en Limite Semiclassique. II. Preprint 1984. See also: , , , Tunneling Instability via Perturbation Theory, to appear in J. Phys. A. | MR
, , ,[3]
, , , paper in preparation.[4] Singular Continuous Measures in Scattering Theory, Comm. Math. Phys., t. 60, 1978, p. 13-36. | MR | Zbl
,[5] Absence of diffusion in the Anderson tight binding model for large disorder or low energy. Comm. Math. Phys., t. 88, 1983, p. 151-184. , , A rigorous approach to Anderson localization, Phys. Reports, t. 108, n° 1-4, 1984, p. 9. | MR | Zbl
, ,[6] Sur le spectre des opérateurs aux différences finies aléatoires. Comm. Math. Phys., t. 78, 1980, p. 201-246. | MR | Zbl
, ,[7] On absence of Diffusion near the Bottom of the Spectrum for a random Schrödinger Operator on L2 (Rν). Comm. Math. Phys., t. 93, 1984, p. 197-217. | MR | Zbl
, ,[8] Schrödinger Semigroups. Bull. Amer. Math. Soc., t. 7, 1983, p. 447. | MR | Zbl
,[9] Methods of Modern Mathematical Physics, IV. Academic Press, 1975-1978. | MR | Zbl
, ,[10] Functional integration and Quantum Physics. Academic Press, New York, 1979. | MR | Zbl
,[11] Bounds on the density of states in disordered systems. Z. Physik, t. B44, 1981, p. 9-15. | MR
,[12] Expansion in eigenfunctions of selfadjoint operators. Translations of Mathematical Monographs, t. 17, A. M. S., 1968. | MR | Zbl
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