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

Kamuntavičius, Gintautas Pranciškus; Kamuntavičius, G.

doi:10.4236/jamp.2017.54075

Use this url to cite publication: https://hdl.handle.net/20.500.12259/35919

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

Type of publication

Straipsnis kitoje duomenų bazėje / Article in other database (S4)

Author(s)

Author	Affiliation
Kamuntavičius, Gintautas Pranciškus	Fizikos katedra / Department of Physics	LT
Kamuntavičius, G.	Christ’s College, University of Cambridge, Cambridge, UK	GB

Title

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

[en]

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

Date Issued

Date
2017

Publisher

Irvine, CA : Scientific Research Publishing Inc

Is Referenced by

Open J-Gate

Scientific Research Publishing

Elektronische Zeitschriftenbibliothek EZB

Extent

p. 853-861

URI

URI
http://file.scirp.org/Html/3-1720838_75978.htm
https://hdl.handle.net/20.500.12259/35919

DOI

10.4236/jamp.2017.54075

Field of Science

Keywords (en)

Abstract (en)

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.