Author(s)

Gintautas P. Kamuntavičius¹, G. Kamuntavičius²

¹Department of Physics, Vytautas Magnus University, Kaunas, Lithuania.
²Christ’s College, University of Cambridge, Cambridge, UK.

An investigation of origins of the quantum mechanical momentum operator has shown that it corresponds to the nonrelativistic momentum of classical special relativity theory rather than the relativistic one, as has been unconditionally believed in traditional relativistic quantum mechanics until now. Taking this correspondence into account, relativistic momentum and energy operators are defined. Schrödinger equations with relativistic kinematics are introduced and investigated for a free particle and a particle trapped in the deep potential well.

Special Relativity, Quantum Mechanics, Relativistic Wave Equations, Solutions of Wave Equations: Bound States

Kamuntavičius, G. and Kamuntavičius, G. (2017) Kinematic Relativity of Quantum Mechanics: Free Particle with Different Boundary Conditions. Journal of Applied Mathematics and Physics, 5, 853-861. doi: 10.4236/jamp.2017.54075.