Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bound-States of the Spinless Salpeter Equation for the PT -Symmetric Generalized Hulthén Potential by the Nikiforov-Uvarov Method

The one-dimensional spinless Salpeter equation has been solved for the PT -symmetric generalized Hulthén potential. The Nikiforov-Uvarov (NU) method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type is used to obtain exact energy eigenvalues and corresponding eigenfunctions. We have investigated the positive an...

متن کامل

Exact Bound State Solutions of the Schrödinger Equation for Noncentral Potential via the Nikiforov-Uvarov Method

Exact bound state solutions of the Schrödinger equation for generalized noncentral potential are examined by means of the Nikiforov-Uvarov method. The wavefunctions and the corresponding energy eigenvalues of the system are obtained analytically. The results examined for the potential are compatible with those obtained by the other methods.

متن کامل

Approximate l-state solutions of the Manning-Rosen potential by the Nikiforov-Uvarov method

The Schrödinger equation for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states energies. Additionally, the corresponding wave functions are expressed by the Jacobi polynomials. The Nikiforov-Uvarov (NU) method is used in the calculations. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers...

متن کامل

Supersymmetric Solution of Schrödinger Equation for central confining Potentials by using the Nikiforov-Uvarov Method

We present the exact supersymmetric solution of Schrödinger equation with the Morse, Pöschl-Teller and Hulthén potentials by using the Nikiforov-Uvarov method. Eigenfunctions and corresponding energy eigenvalues are calculated for the first six excited states. Results are in good agreement with the ones obtained before. PACS numbers: 03.65.Ge, 12.39.Jh

متن کامل

Rotational Correction on the Morse Potential through the Pekeris Approximation and Nikiforov-uvarov Method

The Nikiforov-Uvarov method is employed to calculate the Schrödinger equation with a rotation Morse potential. The bound state energy eigenvalues and the corresponding eigenfunction are obtained. All of these calculations present an effective and clear method under a Pekeris approximation to solve a rotation Morse model. Meanwhile the results got here are in a good agreement with ones before. P...

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

ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 2011

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.3671640