@article{AIHPA_1998__69_2_135_0, author = {Griesemer, Marcel}, title = {N-Body quantum systems with singular potentials}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {135--187}, publisher = {Gauthier-Villars}, volume = {69}, number = {2}, year = {1998}, mrnumber = {1638887}, zbl = {0916.47052}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1998__69_2_135_0/} }
Griesemer, Marcel. N-Body quantum systems with singular potentials. Annales de l'I.H.P. Physique théorique, Tome 69 (1998) no. 2, pp. 135-187. http://www.numdam.org/item/AIHPA_1998__69_2_135_0/
[1] Lectures on exponential decay of solutions of second order elliptic equations: bounds on eigenfunctions of N-body Schrödinger operators. Mathematical Notes 29, Princeton University Press, University of Tokyo Press 1982. | MR | Zbl
,[2] C0-Groups, commutator methods and spectral theory for N-body Hamiltonians. Progress in Mathematics, vol. 135, Birkhäuser, 1996. | MR | Zbl
, , ,[3] N-body Hamiltonians with hard-core interactions., Rev. Math. Phys., Vol. 6, 1994, pp. 515-596. | MR | Zbl
, , ,[4] Schrödinger operators. Springer 1987. | Zbl
, , , ,[5] A note on Hunziker's theorem., Commun. Math. Phys., Vol. 52, 1977, pp. 233-238. | MR
,[6] Scattering theory with singular potentials. II. The N-body problem and hard cores. Ann. Inst. Poincaré. Vol. 21, 1974, pp. 217-231. | Numdam | MR
, , ,[7] A new proof of the Mourre estimate., Duke Math. J., Vol. 49, 1982, 1075-1085. | MR | Zbl
, ,[8] Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators., Commun. Math. Phys., Vol. 87, 1982, pp. 429-447. | MR | Zbl
, ,[9] Asymptotic completeness for N-body short-range quantum systems: A new proof., Commun. Math. Phys., Vol. 132, 1990, pp. 73-102. | MR | Zbl
,[10] Classical action and quantum N-body asymptotic completeness. To appear in the IMA Volumes in Mathematics and its Applications, Springer | MR
, ,[11]
, unpublished notes.[12] N-body quantum systems with hard-core interactions. ETH thesis No. 11644, 1996.
,[13] Equation de Schrödinger avec champs magnétic et équation de Harper. in Schrödinger operators, ed. by H. Holden, A. Jensen. Lecture notes in physics, vol 345, 1988. | Zbl
, ,[14] Time-dependent scattering theory for singular potentials., Helv. Phys. Acta., Vol. 40, 1967, pp. 1052-1062. | Zbl
,[15] The general theory of N-body quantum systems. in Mathematical quantum theory. II. Schrödinger operators, J. Feldmann et al. eds., AMS-publ., 1994. | MR | Zbl
, ,[16] Hard-core scattering for N-body systems., Math. Phys. Anal. Geom., Vol. 1, 1994, pp. 265-313. | MR | Zbl
,[17] Perturbation theory for linear operators. Berlin, Heidelberg, New York: Springer 1976 (second edition). | MR
,[18] Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators., Commun. Math. Phys., Vol. 92, 1984, pp. 481-483. | MR | Zbl
,[19] Methods of modem mathematical physics. I-IV. New York: Academic Press
, ,[20] The N-particle scattering problem: asymptotic completeness for short-range systems., Annals of Math., Vol. 126, 1987, pp. 35-108. | MR | Zbl
, ,[21] Propagation estimates for N-body Schrödinger operators., Commun. Math. Phys., Vol. 142, 1991, pp. 67-98. | MR | Zbl
,[22] Radiation condition and scattering theory for N-particle Hamiltonians, Commun. Math. Phys., Vol. 154, 1993, pp. 523-554. | MR | Zbl
,