Список литературыTamáas Fülöp“Singular Potentials in Quantum Mechanics and Ambiguity in the Self-Adjoint Hamiltonian”, SIGMA, 2007, том 3,107, 12 стр.

Singular Potentials in Quantum Mechanics and Ambiguity in the Self-Adjoint Hamiltonian
Tamáas Fülöp



Список литературы

1.	Gordeyev A. N., Chhajlany S. C., “One-dimensional hydrogen atom: a singular potential in quantum mechanics”, J. Phys. A: Math. Gen., 30 (1997), 6893–6909
2.	Reed M., Simon B., Methods of modern mathematical physics I. Functional analysis, revised and enlarged edition, Academic Press, New York, 1980
3.	Reed M., Simon B., Methods of modern mathematical physics II. Fourier analysis, self-adjointness, Academic Press, New York, 1975
4.	Richtmyer R. D., Principles of advanced mathematical physics, Vol. I, Springer-Verlag, 1978
5.	Akhiezer N. I., Glazman I. M., Theory of linear operators in Hilbert space, Pitman, New York, 1981
6.	Gorbachuk V. I., Gorbachuk M. L., Boundary value problems for operator differential equations, Kluwer, 1991
7.	Matolcsi T., Spacetime without reference frames, Akadémiai Kiadó, Budapest, 1993
8.	Fülöp T., The physical role of boundary conditions in quantum mechanics, PhD dissertation, The University of Tokyo, Japan, 2006
9.	Fülöp T., Cheon T., Tsutsui I., “Classical aspects of quantum walls in one dimension”, Phys. Rev. A, 66:5 (2002), 052102, 10 pp., ages ; quant-ph/0111057
10.	Tsutsui I., Fülöp T., Cheon T., “Duality and anholonomy in the quantum mechanics of 1D contact interactions”, J. Phys. Soc. Japan, 69 (2000), 3473–3476 ; quant-ph/0003069
11.	Cheon T., Fülöp T., Tsutsui I., “Symmetry, duality and anholonomy of point interactions in one dimension”, Ann. Phys. (N.Y.), 294 (2001), 1–23 ; quant-ph/0008123
12.	Tsutsui I., Fülöp T., Cheon T., “Möbius structure of the spectral space of Schrödinger operators with point interaction”, J. Math. Phys., 42 (2001), 5687–5697 ; quant-ph/0105066
13.	Albeverio S., Gesztesy F., Høegh-Krohn R., Holden H., Solvable models in quantum mechanics, 2nd ed., with a remarkable Appendix written by P. Exner, AMS Chelsea Publishing, Providence, Rhode Island, 2005
14.	Dittrich J., Exner P., “Tunneling through a singular potential barrier”, J. Math. Phys., 26 (1985), 2000–2008
15.	Fehér L., Fülöp T., Tsutsui I., “Inequivalent quantizations of the three-particle Calogero model constructed by separation of variables”, Nuclear Phys. B, 715 (2005), 713–757 ; math-ph/0412095
16.	Cheon T., Tsutsui I., Fülöp T., “Quantum abacus”, Phys. Lett. A, 330 (2004), 338–342 ; quant-ph/0404039
17.	Gitman D., Tyutin I., Voronov B., Self-adjoint extensions as a quantization problem, Progr. Math. Phys., Birkhäuser, Basel, 2006
18.	Frank W. M., Land D. J., Spector R. M., “Singular potentials”, Rev. Modern Phys., 43 (1971), 36–98
19.	Krall A. M., “Boundary values for an eigenvalue problem with a singular potential”, J. Differential Equations, 45 (1982), 128–138
20.	Esteve J. G., “Origin of the anomalies: The modified Heisenberg equation”, Phys. Rev. D, 66 (2002), 125013, 4 pp., ages ; hep-th/0207164
21.	Coon S. A., Holstein B. R., “Anomalies in quantum mechanics: the $1/r^2$ potential”, Amer. J. Phys., 70 (2002), 513–519 ; quant-ph/0202091
22.	Essim A. M., Griffiths D. J., “Quantum mechanics of the $1/x^2$ potential”, Amer. J. Phys., 74 (2006), 109–117