Abstract:
Using the dual nature of atomic and subatomic particles beside generalized
special relativistic equation, two new quantum equations were obtained. The first
one reduces to ordinary time independent Schrodinger equation and Klein-
Gordon equation.
This new equation for harmonic Oscillator, shows many interesting
properties. It shows that both energy and rest mass are quantized. Thus one can
predicts the mass of any elementary particle by adjusting the quantum number
and frequency. It also predicts wave solutions, thus it can describe the photon
behavior. By predicting mass quantization it confirms string theory. The second
equation describes Josephson effect by using simple mathematics. The frequency
is potential dependent similar to conventional one.