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创建时空可变系多线矢物理学(108)通常量子力学和场论的相应改造和发展(6) 算符的一些运算法则
(接(107))
由[符C]f’=([符A] +[符B])F’ =[符A]F’ +[符B]F’,
得到算符的加法:[符C]=[符A] +[符B],
由[符C]f’ =符A] ([符B] F’),得到算符的乘法:[符C]=[符A] [符B],
但一般地,[符A] [符B]不=[符B] [符A], (不可对易),例如:
[符A(X,n)(x)][符B(X,n)(x)]F’=[符A(X,n)(x)]ih[符d(A,X,n)(x)]F’
不=([符B(X,n)(x)] [符A(X,n)(x)]F’=ih(1+[符A(X,n)(x)] [符d(A,X,n)(x)])F’),
即有:[符B(X,n)(x)] [符A(X,n)(x)]F -[符A(X,n)(x)][符B(X,n)(x)]=i