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《College Physics》 2006-02
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Some discussions on phase invariance

JIANG Yong-jin,ZHOU Xiao-yan (College of Mathematics and Physics,Zhejiang Normal University,Jinhua,Zhejiang 321004,China)  
The principle of phase invariance(also called "phase harmonic law") in classical wave dynamics as a basic physical principle is discussed and an underlying intuitive reason which lies behind it——the order invariance of physical quantities is proposed.Such invariance reflects the principle of relativity.From "phase harmonic law" we deduced the transformation laws for wave vector,frequency,and group velocity of wave packets while space-time coordinates satisfying Galileo and Lorentz transformation,respectively.Furthermore we discussed the problem of phase transformation for Schrdinger equation and Klein-Gordon equation.For Schrdinger equation,we believe that the complex nature of wave function releases the wave function from phase invariance which is inevitable for classical waves(where only the real part of wave function have physical meaning),thus expanded the physical region.It becomes the basic quantum equation of nonrelativistic particles.Klein-Gordon equation,however,satisfies "phase harmonic law",we believe that there should be some kind of order invariance for physical quantities behind it.We discussed one possibility from professor Guangjiong Ni's two-component(particle and antiparticle) notion to identify such an order.
【CateGory Index】: O413.1
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