Interaction of Dot Clasters

DOI: 10.4236/jmp.2015.611165   PDF   HTML   XML   3,734 Downloads   4,049 Views  


Models of the pointed interactions approximately describing real interactions of nuclear particles in quantum mechanics are considered. The concept of “a dot cluster”—a complex of charges which at the zero size create possibility of localization of a trial particle in the field of the final size is entered. States in one-dimensional systems, and also in three-dimensional systems with “a local isotropy” are studied. The conditions of dot systems characterized by the nonzero, including fractional, orbital moment were studied.

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Chikhachev, A. (2015) Interaction of Dot Clasters. Journal of Modern Physics, 6, 1642-1646. doi: 10.4236/jmp.2015.611165.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Demkov, Yu.N. and Ostrovsky, V.N. (1988) Zero-Range Potentials and Their Applications in Atomic Physics. Plenum, New York.
[2] Baz, A.I., Zeldovich, Ya.B. and Perelomov, A.M. (1971) Dispersion, Reactions and Disintegrations in the Nonrelativistic Quantum Mechanics.
[3] Roman, J.M. and Tarrach, R. (1996) Journal of Physics A: Mathematical and General, 29, 6071-6085.
[4] Albeverio, S., Gestesy, F., Hoegh Krohn, R. and Holden, H. (1988) Solvable Models in Quantum Mechanics. Springer, Berlin.
[5] Chikhachev, A.S. (2005) Theoretical and Mathematical Physics, 145, 1703-1710.
[6] Manko, V.I. and Chikhachev, A.S. (2001) Physics of Atomic Nuclei, 64, 1457-1463.
[7] Solovyov, E.F. (1976) Theoretical and Mathematical Physics, 28, 757.
[8] Damert, W.C. (1975) American Journal of Physics, 43, 531.
[9] Vladimirov, V.S. (1978) Equations of Mathematical Physics. Science.

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