There Also Can Be Fuzziness in Quantum States Itself—Breaking through the Framework and the Principle of Quantum Mechanics

• 作者: Wenbing Qiu
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Fuzzy Quantum Probability Fuzzy Wave Function Membership Function Membership Degree Amplitude Fuzzy Probability Amplitude
• 年，卷（期）: 2020,（6）
• 页码范围: 952-966
• 页数: 15页
• 分类号: O15

摘要

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.