imaginary number
5.This paper discussed the difference of wavelength between de Broglie wave and photon, the significance of the imaginary number i in quantum mechanics, the space symmetry of the wave function in some one-dimensional problems, and the distribution of momentum for a particle in an infinite potential well.
10.Let D be the ring of integers in the imaginary quadratic field Q() and let Cn,△n be the class number of a positive de finits Hermitian form of rank n and discriminant △n over D. In this paper the author determines Cn ,△n with n = 2, 1≤△n≤5 and n = 3, △n= 1 by usin Hermitian reduction theory to Hermitian forms over D. Representative forms of classes are exhibited.

