Author(s)

Wenbing Qiu

Department of Physics, Faculty of Science, Shihezi University, Shihezi, China.

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.

Fuzzy Quantum Probability, Fuzzy Wave Function, Membership Function, Membership Degree Amplitude, Fuzzy Probability Amplitude

Qiu, W. (2020) There Also Can Be Fuzziness in Quantum States Itself—Breaking through the Framework and the Principle of Quantum Mechanics. Journal of Modern Physics, 11, 952-966. doi: 10.4236/jmp.2020.116059.