Exact Solution of Schrödinger equation with deformed Ring-Shaped Potential

نویسندگان

  • Metin Aktaş
  • Ramazan Sever
چکیده

Exact solution of the Schrödinger equation with deformed ring shaped potential is obtained in the parabolic and spherical coordinates. The Nikiforov-Uvarov method is used in the solution. Eigenfunctions and corresponding energy eigenvalues are calculated analytically. The agreement of our results is good. PACS numbers: 03.65.-w, 12.39.Jh, 21.10.-k

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exact 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 کامل

Exact solutions of the pseudo-Coulomb potential plus ring-shaped potential in the D-dimensional Schrödinger equation by the Nikiforov-Uvarov method

We present analytically the exact energy bound-states solutions of the Schrödinger equation in D-dimensions for an alternative (often used) pseudoCoulomb potential-plusring-shaped potential of the form V (r) = −ar + b r + β cos θ r sin θ + c by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the w...

متن کامل

Lagrange-mesh solution of the Schrödinger equation in generalized spherical coordinates

The solution of themulti-dimensional Schrödinger equation in the generalized spherical coordinates is constructed in the Lagrange-meshmethod. Laguerre and Jacobimeshes are used to constructmatrix elements for the generalizedHamiltonian. Thematrix elements are functions of quadrature abscissas and involve few free parameters for each angular dimension. A ring-shaped non-central separable potenti...

متن کامل

Solution of the D - dimensional Klein - Gordon equation with equal scalar and vector ring - shaped pseudoharmonic potential

We present the exact solution of the Klein-Gordon equation in D-dimensions in the presence of the noncentral equal scalar and vector pseudoharmonic potential plus the new ring-shaped potential using the Nikiforov-Uvarov method. We obtain the exact bound-state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution for this noncentral ring-sh...

متن کامل

Exact solutions of the modified Kratzer potential plus ring - shaped potential in the D - dimensional Schrödinger equation by the Nikiforov - Uvarov method

We present analytically the exact energy bound-states solutions of the Schrödinger equation in D-dimensions for a recently proposed modified Kratzer potential plus ring-shaped potential by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the wave functions in terms of orthogonal polynomials. The results obtained in this work are ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004