A class of analytic perturbations for one-body Schrödinger Hamiltonians

J. Aguilar; J. M. Combes

doi:10.1007/bf01877510

journal article Dec 01, 1971

A class of analytic perturbations for one-body Schrödinger Hamiltonians

J. Aguilar J. M. Combes

Communications in Mathematical Physics Vol. 22 No. 4 pp. 269-279 · Springer Science and Business Media LLC

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References

15

[1]

Amrein, W., Misra, Ph., Martin. B.: On the asymptotic condition of scattering theory. Helv. Phys. Acta43, 313 (1970).

[2]

Combes, J. M.: An algebraic approach to quantum scattering theory. Preprint — Marseille.

[3]

Lavine, R. B.: Scattering theory for long range potentials. J. Functional Analysis5, 368 (1970). 10.1016/0022-1236(70)90015-7

[4]

-- Commutators and scattering theory, Part I: Repulsive interactions. Preprint Cornell University.

[5]

-- Commutators and scattering theory, Part II: Class of one-body problem. Preprint Cornell University.

[6]

Weidmann, J.: The virial theorem and its applications to the spectral theory of Schrödinger operators. Bull. Amer. Math. Soc.73, 452 (1967). 10.1090/s0002-9904-1967-11781-6

[7]

Lovelace, C.: Three particle systems and unstable particles. Scottish Universities Summer School, Moorhouse (1963).

[8]

Bottino, Longoni, A., Regge, T.: Potential scattering for complex energy and angular momentum. Nuovo Cimento23, 354 (1962).

[9]

Fredholm method in potential scattering and applications to complex angular momentum

Lowell Brown, Daniel I Fivel, Benjamin W Lee et al.

Annals of Physics 1963 10.1016/0003-4916(63)90192-1

[10]

Meromorphic families of compact operators

Stanly Steinberg

Archive for Rational Mechanics and Analysis 1968 10.1007/bf00251419

[11]

Dunford-Schwartz: Linear operators I. New York: Interscience Publ. 1959.

[12]

Analytic Vectors

Edward Nelson

The Annals of Mathematics 1959 10.2307/1970331

[13]

Combes, J. M.: Relatively compact interactions in many particle system. Appendix I. Commun. math. Phys.12, 283 (1969). 10.1007/bf01667314

[14]

Kato: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966.

[15]

Wong, J.: On a condition for completness. J. Math. Phys.10, 1438 (1969). 10.1063/1.1664987

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Details

Published: Dec 01, 1971
Vol/Issue: 22(4)
Pages: 269-279
License: View

Authors

J

J. Aguilar

Lawrence Berkeley National Laboratory

J

J. M. Combes

Cite This Article

J. Aguilar, J. M. Combes (1971). A class of analytic perturbations for one-body Schrödinger Hamiltonians. Communications in Mathematical Physics, 22(4), 269-279. https://doi.org/10.1007/bf01877510

A class of analytic perturbations for one-body Schrödinger Hamiltonians

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