On Mathematical Modeling Of Quantum Systems
- Department of Mathematics, Amrita Vishwa Vidyapeetham, Coimbatore, 641 105 (India)
- Dept. of Physics, Amrita Vishwa Vidyapeetham, Coimbatore, 641 105 (India)
The world of physical systems at the most fundamental levels is replete with efficient, interesting models possessing sufficient ability to represent the reality to a considerable extent. So far, quantum mechanics (QM) forming the basis of almost all natural phenomena, has found beyond doubt its intrinsic ingenuity, capacity and robustness to stand the rigorous tests of validity from and through appropriate calculations and experiments. No serious failures of quantum mechanical predictions have been reported, yet. However, Albert Einstein, the greatest theoretical physicist of the twentieth century and some other eminent men of science have stated firmly and categorically that QM, though successful by and large, is incomplete. There are classical and quantum reality models including those based on consciousness. Relativistic quantum theoretical approaches to clearly understand the ultimate nature of matter as well as radiation have still much to accomplish in order to qualify for a final theory of everything (TOE). Mathematical models of better, suitable character as also strength are needed to achieve satisfactory explanation of natural processes and phenomena. We, in this paper, discuss some of these matters with certain apt illustrations as well.
- OSTI ID:
- 21316822
- Journal Information:
- AIP Conference Proceedings, Vol. 1146, Issue 1; Conference: CMETP: International conference on modelling and engineering and technological problems; 9. biennial national conference of Indian Society of Industrial and Applied Mathematics (ISIAM), Agra (India), 14-16 Jan 2009; Other Information: DOI: 10.1063/1.3183535; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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