QC488 : Investigation of deformed quantum mechanics with approach of deformed special relativity
Thesis > Central Library of Shahrood University > Physics > MSc > 2019
Authors:
Abstarct: In this thesis, we introduce the generalized uncertainty principle and we
expect to obtain standard relation in limited state. We describes how to ocheive the generalized
uncertainty principle (GUP) and find that this generalized uncertainty principle
has a minimal length, that consequence with the string theory that generalized parameter
corresponding with Planck length. Also we introduce the extended uncertainty principle
(EUP) that in limited state change to Heisenberg uncertainty principle and it has a non
zero minimum uncertainty in momentum. Also we know that GUP and EUP and extended
generalized uncertainty principle (EGUP) are modified equation from Heisenberg
uncertainty principle. in this thesis we obtain relativistic and non relativistic equation
with modified uncertainty principle. Then we investigate algebraic approach with doubly
special relativity on generalized uncertainty principle. Also we obtain modified equation
for position and frequency with using Heisenberg algebra in GUP and EUP. Then we have
used the extended generalized uncertainty principle to investigate Unruh temperature and
thermodynamic properties of a black hole. This study starts from a brief perusal of the
Heisenberg uncertainty principle and some physical and mathematical discussion for obtaining
the generalized and the extended generalized uncertainty principle. Then, using
the discussion, it has been shown in detail how Unruh temperature, mass, specific heat
and entropy of a black hole may be extended.
Keywords:
#Generalized uncertainty principle #Extended uncertainty principle #Schrodinger equation #Doubly special relativity #Unruh temperature #Klein- Gordon equation Link
Keeping place: Central Library of Shahrood University
Visitor:
Keeping place: Central Library of Shahrood University
Visitor: