scholarly journals Approximate Solution of Schrodinger Equation for Trigonometric Scarf Potential with the Poschl-Teller Non-central potential Using NU Method

2012 ◽  
Vol 2 (3) ◽  
pp. 13-23 ◽  
Author(s):  
C Cari
Keyword(s):  
Approximate Solution ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Central Potential ◽  
Scarf Potential ◽  
Nu Method

scholarly journals The spinless relativistic kink-like problem

2015 ◽  
Vol 30 (12) ◽  
pp. 1550062 ◽  
Author(s):  
Wolfgang Lucha ◽  
Franz F. Schöberl
Keyword(s):  
Quantum Theory ◽  
Eigenvalue Problem ◽  
Schrödinger Equation ◽  
Boundary Conditions ◽  
Schrodinger Equation ◽  
Bound State ◽  
State Equation ◽  
Hyperbolic Tangent ◽  
Central Potential ◽  
All Solutions

We constrain the possible bound-state solutions of the spinless Salpeter equation (the most obvious semirelativistic generalization of the nonrelativistic Schrödinger equation) with an interaction between the bound-state constituents given by the kink-like potential (a central potential of hyperbolic-tangent form) by formulating a bunch of very elementary boundary conditions to be satisfied by all solutions of the eigenvalue problem posed by a bound-state equation of this type, only to learn that all results produced by a procedure very much liked by some quantum-theory practitioners prove to be in severe conflict with our expectations.

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