Back
 JAMP  Vol.5 No.4 , April 2017
Kinematic Relativity of Quantum Mechanics: Free Particle with Different Boundary Conditions
Abstract: 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.
Cite this paper: 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.
References

[1]   Dirac, P.A.M. (1958) The Principles of Quantum Mechanics. Clarendon Press, Oxford.

[2]   Messiah, A. (1965) Quantum Mechanics. Vol. 1, North-Holland, Amsterdam.

[3]   Mohr, P.J., Newell, D.B. and Taylor, B.N. (2016) CODATA Recommended Values of the Fundamental Physical Constants: 2014. Reviews of Modern Physics, 88, Article ID: 035009.
https://doi.org/10.1103/RevModPhys.88.035009

[4]   Carlson, J. and Schiavilla, R. (1998) Structure and Dynamics of Few-Nucleon Systems. Reviews of Modern Physics, 70, 743-841.
https://doi.org/10.1103/RevModPhys.70.743

 
 
Top