ID  110908 
Author 
Ito, Yoshifumi
The University of Tokushima
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Content Type 
Departmental Bulletin Paper

Description  In this paper, we study the phenomena of potential well of infinite depth on the view point of natural statistical physics. The mathematical model of this physical system is the system of microparticles moving periodically with constant velocity in the interval D = [−a, a], (a > 0).
Thereby we obtain the structure of this physical system at the stationary state. Thus we clarify that this physical system is the composed state of the proper physical systems at the stationary state and the ratio of their composition is given by the sequence {an2}n=0 ∪ {bn2}∞n=1, where an, (n ≥ 0) and bn, (n ≥ 1) are the Fourier type coefficients of the initial state ψ ∈ L2. Then we obtain the energy expectation of the total physical system Ē =∞Σn=0 n2π2ℏ2/2ma2 (an2 + bn2), where m denotes the mass of one microparticle. 
Journal Title 
Journal of Mathematics

ISSN  13467387

NCID  AA11595324

Volume  49

Start Page  59

End Page  77

Sort Key  59

Published Date  2015

FullText File  
language 
eng

TextVersion 
Publisher

departments 
Science and Technology
