Article ID Journal Published Year Pages File Type
8201916 Annals of Physics 2015 18 Pages PDF
Abstract
In this work we explore the self-adjointness of the GUP-modified momentum and Hamiltonian operators over different domains. In particular, we utilize the theorem by von-Neumann for symmetric operators in order to determine whether the momentum and Hamiltonian operators are self-adjoint or not, or they have self-adjoint extensions over the given domain. In addition, a simple example of the Hamiltonian operator describing a particle in a box is given. The solutions of the boundary conditions that describe the self-adjoint extensions of the specific Hamiltonian operator are obtained.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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