There are many pieces of evidence for a minimal length
of the order of Planck length in the problems in quantum gravity, string
theory, and black-hole physics etc. Existing of such a minimal length
description modifies the traditional Heisenberg uncertainty principle. The
novel form is called "the generalized uncertainty principle" in the
jargon. Such a deformation in the uncertainty relation changes the
corresponding wave equation. The latter Schrodinger equation is now no more a
second-order differential equation. Consequently, this causes a great
difficulty to obtain the analytic solutions. In this study, we propose a perturbative
approach to the bound state solutions of the Woods-Saxon potential in the
Schrodinger equation by adopting the minimal length. Here, we take the extra
term as a perturbative term to the Hamiltonian. Then, we calculate the first
order corrections of the energy spectrum for a confined particle in a well by a
Woods-Saxon potential energy.
Schrödinger equation Generalized uncertainty principle Perturbation theory
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 25 Temmuz 2019 |
Yayımlandığı Sayı | Yıl 2019Cilt: 6 |