Minimal length Schrödinger equation via factorisation approach

Pramana: Journal of physics

S ZARRINKAMAR^2¹  S A KHORRAM-HOSSEINI^1² 

[1] Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran^2;Physics Department, University of Guilan, Rasht, Iran^1

关键词: Minimal length;    generalised uncertainty principle;    Planck scale;    Schrödinger equation;    factorisation;    particle in box;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The fourth-order modified Schrödinger equation due to the generalised uncertainty principle is considered in one dimension with a box problem. The factorisation of fourth-order self-adjoint differential equations is then discussed and thereby the wave functions and energy spectra of themodified Schrödinger equation are derived.

【 授权许可】

CC BY