Volume : IV, Issue : XI, November - 2015

The fractional Schrödinger equation and the relativistic Schrödinger equation:twins

Yuchuan Wei

Abstract :

<p> As an approximate realization of the fractional quantum mechanics, we need to introduce the relativistic quantum mechanics. The fractional Schrödinger equation and the relativistic Schrödinger equation have many similar properties, such as their Hamiltonians are both Hermitian operators, the parity is conserved when the potential is even, and the angular momentum is conserved if the potential is central. They also have similar continuity equations of the probability. The twin equations should be studied at the same time. Meanwhile, we correct Laskin’s continuity equation and this correction reveals a new way of the probability transportation––probability teleportation, which will be a new observable relativistic effect in quantum mechanics</p>

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Article: Download PDF   DOI : 10.36106/ijsr  

Cite This Article:

Yuchuan Wei / The fractional Schr�dinger equation and the relativistic Schr�dinger equation:twins / International Journal of Scientific Research, Vol : 4, Issue : 11 November 2015

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