Volume : IV, Issue : XI, November - 2015

The quantum mechanics based on a general kinetic energy

Yuchuan Wei

Abstract :

<p><p> In this paper, we introduce the Schrödinger equation with a general kinetic energy operator. The conservation law is proved and the probability continuity equation is deducted in a general sense. Examples with a Hermitian kinetic energy operator include the standard Schrödinger equation, the relativistic Schrödinger equation, the fractional Schrödinger equation, the Dirac equation, and the deformed Schrödinger equation. We reveal that the Klein–Gordon equation has a hidden non–Hermitian kinetic energy operator. The probability continuity equation with sources indicates that there exists a different way of probability transportation, which is probability teleportation. An average formula is deducted from the relativistic Schrödinger equation, the Dirac equation, and the K–G equation.</p></p>

Keywords :

Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

Yuchuan Wei / The quantum mechanics based on a general kinetic energy / International Journal of Scientific Research, Vol : 4, Issue : 11 November 2015

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