Samar M. Classical and relativistic quantum problems in space with minimal length

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0417U002729

Thesis Registration Form

0417U002729.pdf

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

30-06-2017

Specialized Academic Board

Д 35.051.09

Ivan Franko National University of Lviv

Essay

The thesis is devoted to the study of the influence of deformation of commutation relations on the physical properties of single-particle systems. The exact solutions of quantum-mechanical problems in deformed space with minimal length, in particular one-dimensional particle problem in Coulomb potential, in a delta well or a double delta well, are found. The influence of the deformation of commutation relations on the spectrum of a relativistic hydrogen atom was studied, which made it possible to estimate the upper bound for the minimal length on the basis of comparison of experimental data with theoretical estimations.

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Files

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dis.pdf

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