Kinematic relativity of quantum mechanics: free particle with different boundary conditions

Please use this identifier to cite or link to this item:https://hdl.handle.net/20.500.12259/35919

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Type of publication:	Straipsnis kitose duomenų bazėse / Article in other databases (S4)
Field of Science:	Fizika / Physics (N002)
Author(s):	Kamuntavičius, Gintautas Pranciškus;Kamuntavičius, G
Title:	Kinematic relativity of quantum mechanics: free particle with different boundary conditions
Is part of:	Journal of applied mathematics and physics = Zeitschrift für angewandte Mathematik und Physik. Irvine, CA : Scientific Research Publishing Inc, 2017, Vol. 5, no. 4
Extent:	p. 853-861
Date:	2017
Note:	ISSN Online: 2327-4379
Keywords:	Special relativity;Quantum mechanics;Relativistic wave equations;Solutions of wave equations;Bound States
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
Internet:	https://eltalpykla.vdu.lt/handle/1/35919 http://file.scirp.org/Html/3-1720838_75978.htm
Affiliation(s):	Fizikos katedra Gamtos mokslų fakultetas Vytauto Didžiojo universitetas
Appears in Collections:	1. Straipsniai / Articles Universiteto mokslo publikacijos / University Research Publications