Two- and three-body calculations within the dominantly orbital state method

[en] The dominantly orbital state method allows a semiclassical description of quantum systems. At the origin, it was developed for two-body relativistic systems. Here, the method is extended to treat two-body Hamiltonians and systems with three identical particles, in D >= 2 dimensions, with arbitrary kinetic energy and potential. This method is very easy to implement and can be used in a large variety of fields. Results are expected to be reliable for large values of the orbital angular momentum and small radial excitations, but information about the whole spectrum can also be obtained in some very specific cases.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Semay, Claude ; Université de Mons > Faculté des Sciences > Physique nucléaire et subnucléaire

Buisseret, Fabien ; Université de Mons > Faculté des Sciences > Physique nucléaire et subnucléaire

Language :

English

Title :

Two- and three-body calculations within the dominantly orbital state method

Publication date :

14 May 2013

Journal title :

Physics Letters A

ISSN :

0375-9601

Publisher :

Elsevier, Netherlands

Volume :

377

Pages :

1826-1831

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S824 - Physique nucléaire et subnucléaire

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Available on ORBi UMONS :

since 06 June 2013

Statistics

Number of views

1 (0 by UMONS)

Number of downloads

0 (0 by UMONS)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

M.G. Olsson Phys. Rev. D 55 1997 5479
B. Silvestre-Brac, F. Brau, and C. Semay Phys. Rev. D 59 1998 014019
F. Brau, C. Semay, and B. Silvestre-Brac Phys. Rev. D 62 2000 117501
V. Ariel Altschul, A. Fraenkel, and E. Finkman J. Appl. Phys. 71 1992 4382
A. Szczepaniak, E.S. Swanson, C.-R. Ji, and S.R. Cotanch Phys. Rev. Lett. 76 1996 2011
A. Kempf, G. Mangano, and R.B. Mann Phys. Rev. D 52 1995 1108
F. Brau J. Phys. A 32 1999 7691
C. Quesne, and V.M. Tkachuk Phys. Rev. A 81 2010 012106
F. Buisseret Phys. Rev. A 82 2010 062102
M.J. Teper Phys. Rev. D 59 1998 014512
M.V.N. Murthy, J. Law, M. Brack, and R.K. Bhaduri Phys. Rev. Lett. 67 1991 1817
M.V.N. Murthy, J. Law, M. Brack, and R.K. Bhaduri Phys. Rev. B 45 1992 4289
A. Khare Fractional Statistics and Quantum Theory 2005 World Scientific
B. Silvestre-Brac, and C. Gignoux Phys. Rev. D 32 1985 743
B. Silvestre-Brac, and V. Mathieu Phys. Rev. E 76 2007 046702
B. Silvestre-Brac, C. Semay, F. Buisseret, and F. Brau J. Math. Phys. 51 2010 032104
B. Silvestre-Brac, C. Semay, and F. Buisseret J. Phys. Math. 4 2012 P120601
C. Semay Res. Phys. 2 2012 114
R.L. Hall Phys. Rev. A 39 1989 5500
R.L. Hall, W. Lucha, and F.F. Schöberl Int. J. Mod. Phys. A 18 2003 2657
R.J. Yáñez, W. Van Assche, and J.S. Dehesa Phys. Rev. A 50 1994 3065
J. Avery Hyperspherical Harmonics: Applications in Quantum Theory 1989 Kluwer Dordrecht
W. Lucha Mod. Phys. Lett. A 5 1990 2473
D.J. Griffiths Introduction to Quantum Mechanics 1994 Prentice Hall Englewood Cliffs, NJ
L.P. Fulcher Phys. Rev. D 50 1994 447
F. Brau Phys. Rev. D 62 2000 014005
C. Semay, D. Baye, M. Hesse, and B. Silvestre-Brac Phys. Rev. E 64 2001 016703
F. Buisseret, and C. Semay Phys. Rev. D 82 2010 056008
A. Martin Z. Phys. C 32 1986 359
F. Buisseret, V. Mathieu, and C. Semay arXiv:1301.3247