@article{AIHPA_1980__32_2_125_0, author = {Balslev, Erik}, title = {Analytic scattering theory of quantum mechanical three-body systems}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {125--160}, publisher = {Gauthier-Villars}, volume = {32}, number = {2}, year = {1980}, mrnumber = {580324}, zbl = {0428.47003}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1980__32_2_125_0/} }
TY - JOUR AU - Balslev, Erik TI - Analytic scattering theory of quantum mechanical three-body systems JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1980 SP - 125 EP - 160 VL - 32 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1980__32_2_125_0/ LA - en ID - AIHPA_1980__32_2_125_0 ER -
%0 Journal Article %A Balslev, Erik %T Analytic scattering theory of quantum mechanical three-body systems %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1980 %P 125-160 %V 32 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1980__32_2_125_0/ %G en %F AIHPA_1980__32_2_125_0
Balslev, Erik. Analytic scattering theory of quantum mechanical three-body systems. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 32 (1980) no. 2, pp. 125-160. http://www.numdam.org/item/AIHPA_1980__32_2_125_0/
[1] Lower bounds for solutions of Schrödinger equations, J. d'Anal. Math., 23, 1, 1970, p. 1-25. | MR | Zbl
,[2] Spectral properties of Schrödinger operators and scattering theory, Ann. d. Scuola Norm. sup. de Pisa, Cl. d. Scienze ser. IV, vol. II, 2, 1975, p. 151-218. | Numdam | MR | Zbl
,[3] On a class of analytic perturbations of one-body Schrödinger operators, Comm. Math. Phys., 22, 1971, p. 269-279. | MR | Zbl
and ,[4] A characterization of dilation-analytic potentials and vectors, J. Funct. Anal., vol. 18, no. 1, 1975, p. 1-14. | MR | Zbl
and ,[5] Spectral properties of many-body Schrödinger operators with dilation-analytic interactions, Comm. Math. Phys., t. 22, 1971, p. 280-299. | MR | Zbl
and ,[6] Spectral theory of Schrödinger operators of many-body systems with permutation and rotation symmetries, Ann. Phys., t. 73, 1972, p. 49-107 ; Schrödinger operators with symmetries I-II, Reports on Mathematical Physics, t. 5, 1974, p. 219-280 et p. 393-413. | MR
,[7] Decomposition of many-body Schrödinger operators, Comm. Math. Phys., t. 52, 1977, p. 127-146. | MR | Zbl
,[8] Analytic scattering theory of 2-body Schrödinger operators, J. Funct. Anal., t. 29, 3, 1978, p. 375-396. | MR | Zbl
,[9] Scattering theory of dilated 3-body Schrödinger operators, J. Quantum Chem., t. 14, 1978, p. 361-370.
,[10] Analytic scattering theory of quantum mechanical three-body systems, Aarhus University Preprint, no. 26, 1979. | Zbl
,[11] Analytic scattering theory for many-body systems below the smallest three-body threshold, Aarhus University Preprint, 1979. to appear, Comm. Math. Phys. | MR | Zbl
,[12] Asymptotic behaviour of eigenfunction for multiparticle Schrödinger operators, Comm. Math. Phys., t. 34, 1973, p. 251- 270. | MR | Zbl
and ,[13] Mathematical aspects of the three-body problem in quantum scattering theory, Israel program for scientific translations, Jerusalem, 1975. | MR
,[14] Hilbert space approach to the quantum-mechanical three-body problem, Ann. Inst. Poincaré, vol. XXI, no. 2, 1974, p. 97-145. | Numdam | MR | Zbl
and ,[15] Asymptotic completeness for a class of four particle Schrödinger operators, Bull. Ann Math. Soc., t. 84, 1, 1978, p. 155-156. | MR | Zbl
,[16] A link between scattering resonances and dilation analytic resonances in few body quantum mechanics, Comm. Math. Phys., t. 65, 2, 1979, p. 181-188. | MR | Zbl
,[17] On the quantum-mechanical N-body problem, Helv. Phys. Acta, t. 42, 1969, p. 425-458. | MR
,[18] Abstract stationary theory of multichannel scattering, J. Funct. Anal., t. 22, 1976, p. 250-282. | MR | Zbl
,[19] Asymptotic completeness for multiparticle Schrödinger operators with weak potentials, Comm. math. Phys., t. 27, 1972, p. 137- 145. | MR
and ,[20] Local decay in time of solutions to Schrödinger's equation with dilation-analytic interaction, Manuscripta Math., t. 25, 1978, p. 61-77. | MR | Zbl
,[21] Spectral and scattering theory for a class of nons-elfadjoint operators, Sci. papers College Gen. Ed. Univ. Tokyo, t. 26, 1976, p. 73-89. | MR | Zbl
and ,[22] Wave operators and similarity for some none-selfadjoint operators, Math. Ann., t. 162, 1966, p. 258-279. | MR | Zbl
,[23] Perturbation Theory for Linear Operators, 2 nd. ed. Springer-Verlag, 1976. | MR | Zbl
,[24] Two space scattering, with applications to many-body problems, J. Fac. Sci. Univ. Tokyo, Sect. IA, t. 24, 1977, p. 503-514. | MR | Zbl
,[25] An abstract stationary approach to perturbation of continuous spectra and scattering theory, J. d'Analyse Math., t. 20, 1967, p. 57-117. | MR | Zbl
,[26] An introduction to scattering theory, Aarhus University Lecture notes, Series 51, Feb. 1979. | MR | Zbl
,[27] Commutators and scattering theory II, A class of one body problems, Indiana Univ. Math. J., t. 21, 1972, p. 643-656. | MR | Zbl
,[28] Non-homogeneous boundary value problems and applications, vol. I, Springer-Verlag, 1972. | MR | Zbl
and ,[29] Applications de la méthode de Lavine au problème à trois corps, Ann. Inst. Poincaré, Sect. A, t. 26, 3, 1977, p. 219-262. | Numdam | MR | Zbl
,[30] Methods of modern mathematical physics, IV, Academic Press, 1978. | MR | Zbl
and ,[31] Mathematical Foundations of quantum scattering theory for multiparticle systems, Mem. A. M. S., vol. 16, no. 2, 1978, p. 209. | MR | Zbl
,[32] On quantum mechanics of many-body systems with dilation analytic potentials, Bull. A. M. S., t. 84, 1, 1978, p. 152-154. | MR | Zbl
,[33] Meromorphic families of compact operators, Arch. Rat. Mech. Anal., t. 31, 1968, p. 372-379. | MR | Zbl
,[34] Asymptotic completeness in two-and three particle quantum mechanical scattering, Ann. Phys., t. 90, 1975, p. 127-165. | MR
,[35] Complex dynamical variables for multiparticle systems with analytic interactions I-II, J. Math. Anal. Appl., t. 47, 1974, p. 633-670; t. 48, 1974, p. 368-399. | MR | Zbl
,[36] Invariant subspaces of analytic multiparticle Hamiltonians, J. Math. Anal. Appl., t. 49, 1975, p. 88-123. | MR | Zbl
,[37] Projection operators associated with analytic multiparticle Hamiltonians Notices, Am. Math. Soc., t. 25, 1978, A-320.
,[38] An abstract stationary approach to three-body scattering, J. Fac. Sci. Univ. Tokyo, Sect. IA, t. 25, 1978, p. 109-132. | MR | Zbl
,