scholarly journals The virial relation for the Q-balls in the thermal logarithmic potential revisited analytically

2015 ◽  
Vol 743 ◽  
pp. 347-352 ◽  
Author(s):  
Yue Zhong ◽  
Hongbo Cheng
Keyword(s):  
Logarithmic Potential ◽  
Virial Relation

Logarithmic Potential and Generalized Analytic Functions

2021 ◽  
Author(s):  
V. Gutlyanskiĭ ◽  
O. Nesmelova ◽  
V. Ryazanov ◽  
A. Yefimushkin
Keyword(s):  
Analytic Functions ◽  
Logarithmic Potential ◽  
Generalized Analytic Functions

scholarly journals Construction of potential functions associated with a given energy spectrum — An inverse problem

2020 ◽  
Vol 35 (20) ◽  
pp. 2050104
Author(s):  
A. D. Alhaidari
Keyword(s):  
Energy Spectrum ◽  
Three Dimensional ◽  
Logarithmic Potential ◽  
Potential Functions ◽  
Physical Parameters ◽  
Linear Potential ◽  
Hahn Polynomial ◽  
Exactly Solvable ◽  
The One ◽  
Solvable Problems

Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we present a method that gives the class of potential functions for exactly solvable problems corresponding to a given energy spectrum. In this work, we study the class of problems associated with the continuous dual Hahn polynomial. These include the one-dimensional logarithmic potential and the three-dimensional Coulomb plus linear potential.

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