NDLI: Cornell interaction in the two-body semi-relativistic framework: The Lie algebraic approach

Content Provider	Springer Nature Link
Author	Panahi, H. Zarrinkamar, S. Baradaran, M.
Copyright Year	2016
Abstract	We consider an approximation to the two-body spinless Salpeter equation which is valid for the case of heavy quarks with the Cornell potential. We then replace the square of kinetic term with its nonrelativistic equivalent and obtain an equation which can be alternatively viewed as the generalization of the Schrödinger equation into the relativistic regime. In the calculations, we use the Lie algebraic approach within the framework of quasi-exact solvability. With the help of the representation theory of $ sl(2)$ , the ( $ n+1$ -dimensional matrix equation of the problem is constructed in a quite detailed manner and thereby the quasi-exact expressions for the energy eigenvalues and the corresponding wave functions as well as the allowed values of the potential parameters are obtained.
Starting Page	1
Ending Page	11
Page Count	11
File Format	PDF
Journal	The European Physical Journal Plus
Volume Number	131
Issue Number	2
e-ISSN	21905444
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-02-15
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied and Technical Physics Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics
Content Type	Text
Resource Type	Article

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Cornell interaction in the two-body semi-relativistic framework: The Lie algebraic approach