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Simulating Detectors Using Bohmian Mechanics

Zokaei, Mohammad Hossein | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47182 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Golshani, Mehdi
  7. Abstract:
  8. Bohmian mechanics (or de Broglie–Bohm theory) is a causal version of the quan-tum mechanics which its main idea was expressed for the first time by Louis de Broglie in 1927, and then rediscovered by David Bohm in 1952 with a different approach.In this theory, the state of a system of particles, is described by the position of the particles, and a wavefunction evolving according to the Schrödinger equation. John Bell in 1987, considering the double-slit experiment and emphasizing the importance of the Bohm’s wave-particle theory said: ”Is it not clear from the smallness of the scintillation on the screen that we have to do with a particle? And is it not clear,from the diffraction and interference patterns, that the motion of the particle is di-rected by a wave? ... This idea seems to me so natural and simple, to resolve the wave-particle dilemma in such a clear and ordinary way, that it is a great mystery to me that it was so generally ignored”. Our main goal in this thesis, is to simulate a particle detector (in the double-slit experiment) using the means which Bohmian mechanics provides us, and specifically answering this question that why does deter-mining the path of the particle cause the disappearance of the interference pattern (or as it is said in the language of the standard quantum mechanics, the wave-partice duality)?. In the next step and as far as our computational facilities allow, we are trying to find an answer for this question that when a detector is considered to be a macroscopic one, with respect to its minimum amount of parts, or the conditions it satisfies
  9. Keywords:
  10. Bohmian Mechanics ; Detector ; Double-Slit Experiment ; Simulating Detectors

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