scholarly journals Solving the Schrödinger equation with use of 1/N perturbation theory

1984 ◽  
Vol 25 (4) ◽  
pp. 943-950 ◽  
Author(s):  
Leonard D. Mlodinow ◽  
Michael P. Shatz
Keyword(s):  
Perturbation Theory ◽  
Schrödinger Equation ◽  
Schrodinger Equation

scholarly journals SCHRÖDINGER EQUATION FOR HEAVY MESONS EXPANDED IN 1/mQ

1996 ◽  
Vol 11 (03) ◽  
pp. 257-266 ◽  
Author(s):  
TAKAYUKI MATSUKI
Keyword(s):  
Wave Function ◽  
Perturbation Theory ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Bound States ◽  
Higher Order ◽  
Wave Functions ◽  
Heavy Mesons ◽  
Higher Order Corrections

Operating just once the naive Foldy-Wouthuysen-Tani transformation on the Schrödinger equation for [Formula: see text] bound states described by a Hamiltonian, we systematically develop a perturbation theory in 1/mQ which enables one to solve the Schrödinger equation to obtain masses and wave functions of the bound states in any order of 1/mQ. There also appear negative components of the wave function in our formulation which contribute also to higher order corrections to masses.

scholarly journals A New Study to the Schrödinger Equation for Modified Potential V(r)=ar2+br-4+cr-6 in Nonrelativistic Three Dimensional Real Spaces and Phases

2015 ◽  
Vol 61 ◽  
pp. 38-48 ◽  
Author(s):  
Abdelmadjid Maireche
Keyword(s):  
Perturbation Theory ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Bound States ◽  
Three Dimensional ◽  
Noncommutative Space ◽  
Shift Method ◽  
First Order ◽  
Standard Perturbation Theory

In present work, by applying Boopp’s shift method and standard perturbation theory we have generated exact nonrelativistic bound states solution for a modified potential (see formula in paper) in both three dimensional noncommutative space and phase (NC: 3D-RSP) at first order of two two infinitesimal parameters antisymmetric (see formula in paper), we have also derived the corresponding noncommutative Hamiltonian.

Sign in / Sign up

Export Citation Format

Share Document