Quantum Mechanics

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Relativistic Wave Equation

The Schrödinger equation is non-relativistic wave equation. Non-relativistic and relativistic domains are generally determined by the velocity of the particle. If ν/c is much less than 1, we call it non-relativistic domain, and if ν/c is closer to 1, then it is called relativistic domain. Within quantum mechanics, whether a system is non-relativistic or relativistic is determined by the fact that whether the non-relativistic Hamiltonian or relativistic Hamiltonian is quantized; i.e., whether the transition from classical mechanics to quantum mechanics is done through non-relativistic or relativistic Hamilton.

Irrespective of the velocity of the particle, there is a compelling necessity to combine quantum mechanics ...