Generalized special relativistic Quantum equation for Oscillating systems

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.