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Origin of Quantum Potential: Have the Presented Proposals Been Successful?

Talebian Ashkezari, Alireza | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42528 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Golshani, Mehdi
  7. Abstract:
  8. At least nine different formalisms have been presented for Quantum mechanics which by itself can indicate the incomplete understanding of Quantum theory. Each formalism has its own ups and downs, but de Broglie–Bohm approach which is based on representing a causal interpretation has a special place among them. This approach not only can explain the statistical approach to an ensemble of systems, but also can describe single systems. There are two general approaches in de Broglie–Bohm formalism. The first approach which includes more things in itself than the other approach is Bohm’s which considers Quantum potential energy as the principal factor in causing Quantum effects. The original idea in de Broglie–Bohm approach is this idea that a single system includes the particle and wave together-both of them exist and this wave can cause classical behavior by changing Hamilton-Jacobi equation through Quantum potential. The importance of this potential is that it is more fundamental than Schrodinger equation and Born probabilistic interpretation. Using polar transforms for the solutions of Schrodinger equation, we can see how this energy is related to the amplitude of wave function and its derivatives. In this thesis, after showing the importance of de Broglie–Bohm formalism, the role of Quantum potential from the view point of Bohm has been considered, and finally the origin of this term has been discussed. It is not enough to just reach this term by mathematical transforms; rather, we really need to know the origin of this term
  9. Keywords:
  10. Quantum Mechanics ; Quantum Potential ; Guiding Equation ; de Broglie-Bohm Theory ; Modified Hamilton-Jacobi Equation

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