The excitation spectrum in a weakly interacting bose gas
Nizom TaylanovJizzakh State Pedagogical Institute, 4 Sh. Rashidov prospect, Jizzakh, 130100, UzbekistanZ. KanokovInstitute of Nuclear Physics, Ulugbek fortress, Tashkent, 100174, UzbekistanS Kh UrinovSamarkand branch of Tashkent University of information technologies named after Mukhammad al-Khwarizmi, 47A Sh. Mirzo Street, Samarkand, 140100, Uzbekistan
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Abstract In the work the problem of phenomenon of superfluidity is considered within the framework of Bose-Einshtein condensation, theoretically. We discuss the main features of the excitation spectrum in a weakly interacting Bose gas. Our analysis will show that the healing length, which determines the length scale below which collective phenomena are physically more relevant than free-particle-like ones. Since the weakly interacting gas of Bose particles has been mapped onto a gas of noninteracting quasiparticles, we are able to analyze the thermodynamics of the system and find how temperature affect the depletion of the condensate.
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