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ID 110908
著者
資料タイプ
紀要論文
抄録
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 micro-particles 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

{|an|2}n=0 ∪ {|bn|2}∞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 (|an|2 + |bn|2),
     
where m denotes the mass of one micro-particle.
掲載誌名
Journal of Mathematics
ISSN
13467387
cat書誌ID
AA11595324
49
開始ページ
59
終了ページ
77
並び順
59
発行日
2015
フルテキストファイル
言語
eng
著者版フラグ
出版社版
部局
理工学系