An Eigenfunction Expansion for the Schrödinger Equation with Arbitrary Non-Central Potentials

Content Provider	Semantic Scholar
Author	Taseli, H. Erhan, Inci M. Ugur, Ö.
Copyright Year	2002
Abstract	An eigenfunction expansion for the Schrödinger equation for a particle moving in an arbitrary non-central potential in the cylindrical polar coordinates is introduced, which reduces the partial differential equation to a system of coupled differential equations in the radial variable r. It is proved that such an orthogonal expansion of the wavefunction into the complete set of Chebyshev polynomials is uniformly convergent on any domain of (r,θ). As a benchmark application, the bound states calculations of the quartic oscillator show that both analytical and numerical implementations of the present method are quite satisfactory.
Starting Page	323
Ending Page	338
Page Count	16
File Format	PDF HTM / HTML
DOI	10.1023/A:1022949421571
Volume Number	32
Alternate Webpage(s)	http://users.metu.edu.tr/taseli/JMC02.pdf
Alternate Webpage(s)	https://doi.org/10.1023/A%3A1022949421571
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article