Jump-start in the analytic perturbation procedure for the Friedrichs model

IOP Publishing - Tập 38 Số 22 - Trang 4811-4823 - 2005
B. S. Pavlov1, I. Αντωνίου2
1Department of Mathematics, University of Auckland, Auckland, New Zealand
2Dept. of Mathematics, University of Thessaloniki, Thessaloniki, Greece

Tóm tắt

Từ khóa


Tài liệu tham khảo

Kato T, 1966, Perturbation Theory for Linear Operators, 740 pp

Friedrichs K O, 1948, On the Perturbation of Continuous Spectra, 361

Poincaré H, 1892, Methodes Nouvelles de la Mécanique Celeste, 1

Prigogine I, 1973, Chem. Scr., 4, 5

Prigogine I, 1973, Nature, 246, 9, 10.1038/246067a0

10.1002/qua.560530115

George C, 1985, Advances in Chemical Physics, 61, 223

10.1002/qua.560460311

Mikhailova A Pavlov B Prokhorov L, 2003

Mikhaylova A, 2002, Operator Methods in Ordinary and Partial Differential Equations (Stockholm), 287, 10.1007/978-3-0348-8219-4_22

Bagraev N Mikhailova A Pavlov B Prokhorov L Yafyasov A, 2003, Int. Conf. on Simulation of Semiconductor Processes and Devices (3-6 Sept. 2003) Book of Abstracts, 275

Glazman I, 1966, Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators, 234 pp

Howland J, 1986, Proc. Am. Math. Soc., 97, 634, 10.1090/S0002-9939-1986-0845979-1

Simon B, 1995, Mathematical Quantum Theory: II. Schrödinger Operators, 109

10.1063/1.533125

Pavlov B, 1993, St. Petersburg Math. J., 4, 1245

Faddeev L, 1964, Trudy Mat. Inst. Steklov, 73, 292

Faddeev L Pavlov B Havin V Hruschev S Nikolskii N, 1984, Linear and Complex Analysis Problems (199 Research Problems), 124

Pavlov B, 1970, Funct. Anal. i Ego Prilogenia, 4, N2 54-61

Pavlov B, 1970, Funct. Anal. Appl.

Kato T, 1957, J. Math. Soc. Japan, 9, 239, 10.2969/jmsj/00920239

Rosenbloom M, 1957, Pac. J. Math., 7, 997, 10.2140/pjm.1957.7.997

Birman M, 1962, Russ. Acad. Dokl., 143, 506

Pavlov B, 1984, Teor. Mat. Fiz., 59, 345, 10.1007/BF01018192

10.1007/BF01018192

Pavlov B, 1987, Usp. Mat. Nauk, 42, 99

Gorbachuk V I, 1991, Boundary Value Problems for Operator Differential Equations, 347 pp

Albeverio S, 2000, Singular Perturbations of Differential Operators, 429 pp

Krasnosel'skij M, 1949, Ukr. Mat. J., 1, 21

Kurasov P, 2000, Complex Analysis, Operators and Related Topics, S.A.Vinogradov-in memoriam, 294

Krein M, 1946, Dokl. USSR, 52, 651

Titchmarsh E C, 1962, Eigenfunctions Expansions Associated with Second Order Differential Equations, 1, 203

Sirokov J, 1979, Teor. Mat. Fiz., 41, 45

Sirokov J, 1980, Teor. Mat. Fiz., 42, 291

Potapov V, 1955, Trudy Mosk. Mat. Obschestva, 4, 125

Ginzburg Y, 1994, Oper. Theory Adv. Appl., 72, 28

Lax P, 1967, Scattering Theory

Gohberg I S, 1971, Mat. Sb., 84, 607

Gohberg I S, 1971, Math. USSR-Sb.

Arnold V, 1983, Russ. Math. Surv., 38, 215, 10.1070/RM1983v038n04ABEH004210