Exact solution of Schrödinger equation for Pseudoharmonic potential
نویسندگان
چکیده
منابع مشابه
Numerical solution for one-dimensional independent of time Schrödinger Equation
In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...
متن کاملExact Polynomial Eigensolutions of the Schrödinger Equation for the Pseudoharmonic Potential
Abstract The polynomial solution of the Schrödinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum l. The exact bound-state energy eigenvalues and the corresponding eigen functions are analytically calculated. The energy states for several diatomic molecular systems are calculated numerically for various principal and angular quantum numbers. By using a pr...
متن کاملOn Fuzzy Solution for Exact Second Order Fuzzy Differential Equation
In the present paper, the analytical solution for an exact second order fuzzy initial value problem under generalized Hukuhara differentiability is obtained. First the solution of first order linear fuzzy differential equation under generalized Hukuhara differentiability is investigated using integration factor methods in two cases. The second based on the type of generalized Hukuhara different...
متن کاملnumerical solution for one-dimensional independent of time schrödinger equation
in this paper, one of the numerical solution method of one- particle, one dimensional timeindependentschrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function v(x).for each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. the paper ended with a comparison ...
متن کاملExact solutions of the Schrödinger equation in D-dimensions for the pseudoharmonic potential plus ring-shaped potential
We present analytically the exact energy bound-states solutions of the Schrödinger equation in D-dimensions for a pseudoharmonic potential plus ring-shaped potential of the form V (r, θ) = De ( r re − re r )2 + β cos 2 θ r sin θ by means of the conventional Nikiforov-Uvarov method. We also give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the wave func...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Chemistry
سال: 2007
ISSN: 0259-9791,1572-8897
DOI: 10.1007/s10910-007-9233-y