hyperspherical coordinate
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scholarly journals Solutions of the D-Dimensional Schrödinger Equation with the Hyperbolic Pöschl-Teller Potential plus Modified Ring-Shaped Term

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Ibsal A. Assi ◽  
Akpan N. Ikot ◽  
E. O. Chukwuocha
Keyword(s):  
Wave Function ◽  
Energy Level ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Wave Functions ◽  
Radial Equation ◽  
Energy Eigenvalues ◽  
Separation Of Variable ◽  
Nu Method ◽  
Hyperspherical Coordinate

We solve the D-dimensional Schrödinger equation with hyperbolic Pöschl-Teller potential plus a generalized ring-shaped potential. After the separation of variable in the hyperspherical coordinate, we used Nikiforov-Uvarov (NU) method to solve the resulting radial equation and obtain explicitly the energy level and the corresponding wave function in closed form. The solutions to the energy eigenvalues and the corresponding wave functions are obtained using the NU method as well.

scholarly journals Hyperspherical Coordinate Potential Energy Surface for the He3Complex

2016 ◽  
Vol 8 (2) ◽  
pp. 338-355
Author(s):  
Alessandra Ferreira Albernaz ◽  
Patrícia R. P. Barreto
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Energy Surface ◽  
Hyperspherical Coordinate

Non-orthogonal basis sets for hyperspherical coordinate calculations on chemical reactions

2001 ◽  
Vol 346 (1-2) ◽  
pp. 149-154 ◽  
Author(s):  
Sergei K. Pogrebnya ◽  
Andrew J. Richardson ◽  
David C. Clary
Keyword(s):  
Chemical Reactions ◽  
Orthogonal Basis ◽  
Basis Sets ◽  
Hyperspherical Coordinate

Criteria for the validity of the diabatic-by-sector expansion in the hyperspherical coordinate method

1997 ◽  
Vol 56 (1) ◽  
pp. 1038-1041 ◽  
Author(s):  
Ken-ichi Hino ◽  
Akinori Igarashi ◽  
Joseph H. Macek
Keyword(s):  
Coordinate Method ◽  
Hyperspherical Coordinate

Progress and applications of the hyperspherical coordinate method

1997 ◽  
Vol 124 (2-3) ◽  
pp. 218-224 ◽  
Author(s):  
S. Watanabe ◽  
T. Morishita ◽  
D. Kato ◽  
O.I. Tolstikhin ◽  
K. Hino ◽  
...  
Keyword(s):  
Coordinate Method ◽  
Hyperspherical Coordinate
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