بە ئامادە بوونی مامۆستایانی باشی فیزیا لە رۆژی یەك شەممە بەرواری ٢٠٢٠/١/١٩ سیمینارێك پێشکەش کرا لەلایان بەرێز مامۆستا (زهراء مەلا عیسا)، بە ناونیشانی New Solution for Quantum Harmonic Oscillator model Hamiltonian based on the Recurrence Formula and Jacobi matrix method.
Quantum harmonic oscillator is one of the most important and beautiful models in physics. Quantum harmonic oscillator involves square law potential in the Schrodinger equation and is a fundamental problem in quantum mechanics. It can be solved by various conventional methods such as (i) analytical methods where hermit polynomials are involved, (ii) Algebraic methods where ladder operators are involved, and (iii) Approximation methods where perturbation, variation, semi classical, etc. techniques are involved. For investigation of Recursion Formula and Jacobi Matrix we will consider simple Harmonic oscillator. At first we will solve it analytically then compare with this method.
