TY - JOUR

T1 - GUP modified Wigner function using classical-quantum unified framework

AU - Parida, Bikram Keshari

AU - Sen, Abhijit

PY - 2024/8

Y1 - 2024/8

N2 - The generalized uncertainty principle (GUP) is a natural consequence of many proposed quantum gravity theories that indicate the modification of quantum mechanics and classical mechanics. A unified classical quantum framework also leads to the interpretation of a Wigner phase-space distribution of a state as a KvN wave function. In this article, we utilize the classical-quantum unified framework to calculate the expression for the GUP-modified Wigner function of a classical harmonic oscillator in the configuration space instead of the conventional approach that uses the momentum space. Further, we plot the modified Wigner functions and show that they are similar to the results obtained in the past literature. © Indian Association for the Cultivation of Science 2024.

AB - The generalized uncertainty principle (GUP) is a natural consequence of many proposed quantum gravity theories that indicate the modification of quantum mechanics and classical mechanics. A unified classical quantum framework also leads to the interpretation of a Wigner phase-space distribution of a state as a KvN wave function. In this article, we utilize the classical-quantum unified framework to calculate the expression for the GUP-modified Wigner function of a classical harmonic oscillator in the configuration space instead of the conventional approach that uses the momentum space. Further, we plot the modified Wigner functions and show that they are similar to the results obtained in the past literature. © Indian Association for the Cultivation of Science 2024.

KW - KvN mechanics

KW - Quantum gravity

KW - Quantum mechanics

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85188125862&origin=inward&txGid=6c9ebc80a9c528e4ea35f9439d43121c

UR - https://www.mendeley.com/catalogue/4072d4ee-1d85-31cb-98e1-a87d7d064fa5/

U2 - 10.1007/s12648-024-03086-7

DO - 10.1007/s12648-024-03086-7

M3 - Article

VL - 98

SP - 3287

EP - 3298

JO - Indian Journal of Physics

JF - Indian Journal of Physics

SN - 0974-9845

IS - 9

ER -