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There Also Can Be Fuzziness in Quantum States Itself—Breaking through the Framework and the Principle of Quantum Mechanics
Department of Physics, Faculty of Science, Shihezi University, Shihezi, China
- 1 Department of Physics, Faculty of Science, Shihezi University, Shihezi, China
Journal of Modern Physics·Volume 11 (2020)·Pages 952–966·Published 25 May 2020·DOI10.4236/jmp.2020.116059
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Abstract
In this paper, an attempt is made to synthesize fuzzy mathematics and quantum mechanics. By using the method of fuzzy mathematics to blur the probability (wave) of quantum mechanics, the concept of fuzzy wave function is put forward to describe the fuzzy quantum probability. By applying the non-fuzzy formula of fuzzy quantity and Schrödinger wave equation of quantum mechanics, the membership function equation is established to describe the evolution of the fuzzy wave function. The concept of membership degree amplitude is introduced to calculate fuzzy probability amplitude. Some important concepts in fuzzy mathematics are also illustrated.
KeywordsFuzzy Quantum ProbabilityFuzzy Wave FunctionMembership FunctionMembership Degree AmplitudeFuzzy Probability Amplitude
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