Dr Bahman Ghadirian
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Qualifications |
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Scholarships / Awards |
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Research Interests |
My research interests include many-body quantum mechanics, spin dynamics using NMR techniques, diffusion in more complex restricted geometries and employing mathematical methods such as fractal calculus in study of stochastic motions. I also have an interest in signal enhancement for NMR imaging. |
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Current Research |
I have been working on the theoretical aspects of Nuclear Magnetic Resonance (NMR) physics. In my work, I have investigated problems related to the spin dynamics of the many-body systems of liquid and solid phases of matter, the electronic interactions of elements in many-body systems, and their responses to the static magnetic field and magnetic pulse gradients. I have also worked in the areas that encompass diffusional phenomena in complex restricted model geometries for biological and non-biological systems, and applied a numerical approach, mostly using the Finite Element Method (FEM), for studying diffusion and spin-echoes in porous media. Using a statistical mechanics approach, specifically the fluctuation-dissipation theorem and heat kernel expansions, I have also modelled molecular dynamics for equilibrium and non-equilibrium phenomena of translational motion. Recently I was able to predict a semi-classical Casimir effect in diffusional phenomena using NMR. I am also working on the experimental aspects of diffusion in restricted systems in order to confirm my analytical derivations. In addition, I use MathCad and MATLAB to create in-house simulation software for my projects. Using this in-house software I was able to implement a powerful singular value decomposition algorithm for NMR signal processing. This new algorith has many advantages over previous ones, including a reduction in the information required a priori about the pre-processed signal or image. |
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Previous Reseach |
During my PhD, I studied quantum field theory and quantum statistical mechanics to investigate the vacuum fluctuations for different fields. My investigation into statistical quantum mechanics, such as the similarity between the Gibbs weight factor and the unitary operator of time development of the system in K.M.S. approach, directed me to deeper understanding of the fluctuation-dissipation theorem in the linear response theory for a many-body quantum mechanical system. This lead me to study the behaviour of the vacuum fluctuations and its manifestation in the form of Casimir effect. Furthermore, I have conducted some research into aspects of mathematical physics which was mostly based on the heat kernel expansion and zeta functions methodologies. |
- B.Ghadirian Publications (opens in a new window)

