**Relativistic Sinusoidal Wave Function**

**"**Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture**"** - Bertrand Russell (1872 - 1970)

**§ Definitions:**

**(i).**

**(ii).**

**(iii).**

**(iv).**

**(v).**

**§ Derivations:**

**(i).** Therefore,

**(ii).** Relativistic sinusoidal wave function:

An observer in stationary S system would therefore view a sinusoidal wave form as

but another observer in relatively moving S**'** system would view the same sinusoidal wave form as follows: