Visualising coupled isotropic harmonic oscillator in noncommutative phase space

Mohd Noor, Nurfarhana (2022) Visualising coupled isotropic harmonic oscillator in noncommutative phase space. [Project Paper] (Submitted)

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Abstract

Harmonic oscillator has been used widely as it provides solvable models in many branches of physics. Furthermore, it often gives a clear illustration of an abstract idea of the behaviour of the system where both oscillators can interact with each other and energy can be transferred between them has been taken into account using a coupled harmonic oscillator system. A point in a phase space can characterise the state of a system in classical mechanics, but Heisenberg's uncertainty principle prevents this in quantum mechanics. In order to solve the new quantum geometry which is known as non commutative phase space, the basic mathematics of noncommutative geometry is introduced in this work. The coupled harmonic oscillators in NC plane were subsequently verified using a general wavefunction for the coupled harmonic oscillator in noncommutative phase space. We can exactly know the eigenvalue and eigenstate of the system if we know the exact general wavefunction of the coupled harmonic oscillator system. Further aiding the understanding, we use Mathematica programming language to simulate the general wavefunction of coupled harmonic oscillator in noncommutative phase space.

Item Type:	Project Paper
Faculty:	Fakulti Sains
Depositing User:	Ms Emelda Mohd Hamid
Date Deposited:	20 May 2024 03:29
Last Modified:	09 Aug 2024 04:01
URI:	http://psaspb.upm.edu.my/id/eprint/1769

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