Innovating 3D visualisation for quantum mechanics on the Voxon VX1 volumetric display: techniques and applications

This report details the utilisation of the Voxon VX1, a cutting-edge 3D volumetric visualisation technology, to display the (time-varying) probability density functions of quantum particles in different potentials, systems and barriers. The primary objective of this project is to craft simple, dynam...

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Main Author: Liew, Zachary Zhe Xi
Other Authors: Ho Shen Yong
Format: Final Year Project
Language:English
Published: Nanyang Technological University 2024
Subjects:
Online Access:https://hdl.handle.net/10356/175487
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1754872024-04-29T15:39:21Z Innovating 3D visualisation for quantum mechanics on the Voxon VX1 volumetric display: techniques and applications Liew, Zachary Zhe Xi Ho Shen Yong School of Physical and Mathematical Sciences HoSY@ntu.edu.sg Physics 3D visualisations Quantum mechanics Voxon VX1 This report details the utilisation of the Voxon VX1, a cutting-edge 3D volumetric visualisation technology, to display the (time-varying) probability density functions of quantum particles in different potentials, systems and barriers. The primary objective of this project is to craft simple, dynamic representations of probability density functions in 3D to assist students in visualising the mathematical underpinnings behind Quantum Mechanics. The focal animations depict a propagating Gaussian wave packet, which models a free quantum particle across both two-dimensional and three-dimensional space. Various potentials and barriers are then integrated into the numerical simulations to model the dynamics and interaction of the wave packet with the potentials. The numerical data for the time-varying quantum systems are computationally generated using the Split-Step Fourier method. The data is then post-processed in Blender to generate `.obj' files for display on the Voxon VX1 machine utilising its native three-dimensional media player, `VoxieOS'. This report chronicles the progress of the post-processing methods in a timeline format, reflecting tests and modifications leading to the refinement of the animation production methodology. The animations produced by the finalised post-processing techniques provide a straightforward medium to visualise the intricate mathematics behind the probability density functions. Additionally, the 3D Hydrogen probability density functions are also calculated and visualised on the VX1, allowing viewing from varying polar and azimuthal angles. Potential further work is also discussed, including animating the transition of the Hydrogen atom between different energy levels. Bachelor's degree 2024-04-25T01:11:33Z 2024-04-25T01:11:33Z 2024 Final Year Project (FYP) Liew, Z. Z. X. (2024). Innovating 3D visualisation for quantum mechanics on the Voxon VX1 volumetric display: techniques and applications. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/175487 https://hdl.handle.net/10356/175487 en application/pdf Nanyang Technological University
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Physics
3D visualisations
Quantum mechanics
Voxon VX1
spellingShingle Physics
3D visualisations
Quantum mechanics
Voxon VX1
Liew, Zachary Zhe Xi
Innovating 3D visualisation for quantum mechanics on the Voxon VX1 volumetric display: techniques and applications
description This report details the utilisation of the Voxon VX1, a cutting-edge 3D volumetric visualisation technology, to display the (time-varying) probability density functions of quantum particles in different potentials, systems and barriers. The primary objective of this project is to craft simple, dynamic representations of probability density functions in 3D to assist students in visualising the mathematical underpinnings behind Quantum Mechanics. The focal animations depict a propagating Gaussian wave packet, which models a free quantum particle across both two-dimensional and three-dimensional space. Various potentials and barriers are then integrated into the numerical simulations to model the dynamics and interaction of the wave packet with the potentials. The numerical data for the time-varying quantum systems are computationally generated using the Split-Step Fourier method. The data is then post-processed in Blender to generate `.obj' files for display on the Voxon VX1 machine utilising its native three-dimensional media player, `VoxieOS'. This report chronicles the progress of the post-processing methods in a timeline format, reflecting tests and modifications leading to the refinement of the animation production methodology. The animations produced by the finalised post-processing techniques provide a straightforward medium to visualise the intricate mathematics behind the probability density functions. Additionally, the 3D Hydrogen probability density functions are also calculated and visualised on the VX1, allowing viewing from varying polar and azimuthal angles. Potential further work is also discussed, including animating the transition of the Hydrogen atom between different energy levels.
author2 Ho Shen Yong
author_facet Ho Shen Yong
Liew, Zachary Zhe Xi
format Final Year Project
author Liew, Zachary Zhe Xi
author_sort Liew, Zachary Zhe Xi
title Innovating 3D visualisation for quantum mechanics on the Voxon VX1 volumetric display: techniques and applications
title_short Innovating 3D visualisation for quantum mechanics on the Voxon VX1 volumetric display: techniques and applications
title_full Innovating 3D visualisation for quantum mechanics on the Voxon VX1 volumetric display: techniques and applications
title_fullStr Innovating 3D visualisation for quantum mechanics on the Voxon VX1 volumetric display: techniques and applications
title_full_unstemmed Innovating 3D visualisation for quantum mechanics on the Voxon VX1 volumetric display: techniques and applications
title_sort innovating 3d visualisation for quantum mechanics on the voxon vx1 volumetric display: techniques and applications
publisher Nanyang Technological University
publishDate 2024
url https://hdl.handle.net/10356/175487
_version_ 1800916342482665472