@article{AIHPA_1977__26_3_263_0,
author = {Sinha, Kalyan B.},
title = {On the absolutely and singularly continuous subspaces in scattering theory},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {27},
year = {1977},
pages = {263-277},
mrnumber = {479169},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1977__26_3_263_0}
}
Sinha, Kalyan B. On the absolutely and singularly continuous subspaces in scattering theory. Annales de l'I.H.P. Physique théorique, Tome 27 (1977) pp. 263-277. http://gdmltest.u-ga.fr/item/AIHPA_1977__26_3_263_0/
[1] and , On the characterization of bound states and scattering states in quantum mechanics, Helv. Phys. Acta, t. 46, 1973, p. 635. | MR 363267
[2] , A remark on bound states in potential scattering theory, Nuovo Cimento, t. 61 A, 1969, p. 655. | MR 246603
[3] , Candidates for σa.c. and Ha.c. ; Scattering theory in mathematical physics, edited by J. A. Lavita and J. P. Marchand, D. Reidel Publishing Company, 1974.
[4] , Annals of physics, t. 53, 1969, p. 253-286.
[5] , and , Time-delay in scattering processes, Helv. Phys. Acta, t. 45, 1972, p. 398. | MR 418734
[6] , Lectures on Fourier Integrals, Princeton University Press, 1959. | MR 107124 | Zbl 0085.31802
[7] , On the decay of an unstable particle, Helv. Phys. Acta, t. 45, 1972, p. 619. | MR 418743
[8] and , Linear operators, Part I, Wiley (Interscience), 1958. | MR 1009162 | Zbl 0084.10402
[9] , Perturbation theory of linear operators, Springer-Verlag, 1966, (see page 516). | MR 203473 | Zbl 0148.12601
[10] , a) An example in potential scattering illustrating the breakdown of asymptotic completeness, Comm. Math. Phys., t. 40, 1975, p. 125. , b) General theory of potential scattering with absorption at local singularities, Helv. Phys. Acta, t. 48, 1975, p. 639. | MR 363285
[11] , Quantum mechanics for Hamiltonians defined as quadratic forms, Princeton University Press, 1971. | MR 455975 | Zbl 0232.47053
[12] , Wave operators and similarly for some non-selfadjoint operators, Math. Ann., t. 162, 1966, p. 258. | MR 190801 | Zbl 0139.31203
[13] and , Absolute continuity for a 1-dimensional model of the Stark-Hamiltonian, Helv. Phys. Acta, t. 49, 1976, p. 389. | MR 416356
[14] , On a theorem of Titchmarsh-Naimark-Walter concerning absolutely continuous operators II, University of Gezeva preprint, 1975.
[15] and , Asymptotic completeness for multiparticle Schrödinger-Hamiltonians with weak potentials, Comm. Math. Phys., t. 27, 1972, p. 137. | MR 314392
[16] , The Fourier-Stieltjes coefficients of a function of bounded variation, Amer. Jour. Math., t. 61, 1939, p. 934. | MR 71 | Zbl 0022.35401
[17] , Linear differential operators, Part II, G. Harrap and Company, London, 1968.
[18] , Some questions in non-relativistic quantum scattering theory, Scattering theory in Mathematical Physics, edited by J. A. Lavita and J. P. Marchand, D. Reidel Publishing Company, 1974.