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Abstract
In this work we study the similarity between the wave functions of q -deformed harmonic oscillator and wave functions of Cooper pair. The wave functions of Cooper pairs in coordinate-space have an “onion-like” layered structure with exponent decay (Boltzmann) envelope modulation. The ground state wave function of q -deform harmonic oscillator has the form of oscillate functions with Gaussian decay envelope modulation. The corresponding between Boltzmann and Gaussian forms of envelope functions and their quantum similarity are discussed.
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Details
1 Hung Yen Industrial Colleage, Hung Yen Province, Vietnam
2 Bac Ninh Department of Education and Training, Bac Ninh Province, Vietnam
3 Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan street, Ba Dinli, Hanoi, Vietnam
4 Hanoi Pedagogical University No.2, Vinh Phuc Province, Vietnam