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Invariance principle for modified wave operators
Author(s):
Colston
Chandler;
A. G.
Gibson
Journal:
Bull. Amer. Math. Soc.
81
(1975),
1130-1132.
MSC (1970):
Primary 47A40, 81A45;
Secondary 35J10, 42A68, 47F05
MathSciNet review:
0410422
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Additional information
References:
- 1.
- V. S. Buslaev and V. B. Matveev, Wave operators for the Schrödinger equation with a slowly decreasing potential, Theor. Math. Phys. 2 (1970), 266-274 (translation). MR 473580
- 2.
- C. Chandler and A. G. Gibson, Invariance principle for scattering with long-range (and other) potentials, Indiana Univ. Math. J. (to appear). MR 410423
- 3.
- J. D. Dollard, Asymptotic convergence and the Coulomb interaction, J. Mathematical Phys. 5 (1964), 729-738. MR 29 #921. MR 163620
- 4.
- J. A. Donaldson, A. G. Gibson and R. Hersh, On the invariance principle of scattering theory, J. Functional Analysis 14 (1973), 131-145. MR 350457
- 5.
- T. Kato, Perturbation theory for linear operators, Die Grundlehren der math. Wissenschaften, Band 132, Springer-Verlag, New York, 1966. Chap. 10. MR 34 #3324. MR 203473
- 6.
- V. B. Matveev, Invariance principle for generalized wave operators, Theor. Math. Phys 8 (1971), 663-667 (translation). MR 473877
- 7.
- V. B. Matveev, The invariance principle for generalized wave operators, Problemy Mat. Fiz., vyp. 5, Izdat. Leningrad. Gos. Univ., Leningrad, 1971, pp. 92-101 = Topics in Math. Phys., no. 5, Plenum Press, New York, 1972, pp. 77-85. MR 46 #2457. MR 303319
- 8.
- L. A. Sahnovič, The invariance principle for generalized wave operators, Funkcional. Anal. i Priložen. 5 (1971), no. 1, 61-68 = Functional Anal. Appl. 5 (1971), 49-55. MR 44 #849. MR 283619
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13952-8
PII:
S 0002-9904(1975)13952-8
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