Time fractional quantum mechanics

Nick Laskin

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 16-28

Abstract: A time fractional quantum framework has been introduced into quantum mechanics. A new version of the space-time fractional Schrödinger equation has been launched. The introduced space-time fractional Schrödinger equation has a new scale parameter, which is a time fractional generalization of Planck’s constant in quantum physics.

Keywords: Fractional Schrödinger equation; Time derivative of fractional order; Mittag-Leffler function; Space-time fractional quantum mechanical kernel (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:102:y:2017:i:c:p:16-28

DOI: 10.1016/j.chaos.2017.04.010

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