A modification of $$\mathsf {WKB}$$ WKB method for fractional differential operators of Schrödinger’s type

Sayevand, Khosro; Pichaghchi, K.

doi:10.1007/s13324-016-0143-7

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Cited by 5 publications

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“…Physicists have investigated WKB approximation process of quantization for the fractional Hamiltonian [22][23][24]. A new concept of derivative, called the conformable derivative is given by Khalil et.al.…”

Section: Introductionmentioning

confidence: 99%

WKB Approximation with Conformable Operator

Al-Masaeed,

Rabei,

Al-Jamel

2021

Preprint

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In this paper, the WKB method is extended to be applicable for conformable Hamiltonian systems where the concept of conformable operator with fractional order α is used. The WKB approximation for the α-wavefunction is derived when the potential is slowly varying in space. The paper is furnished with some illustrative examples to demonstrate the method. The quantities of the conformable form are found to be in exact agreement with traditional quantities when α = 1.

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Section: Introductionmentioning

confidence: 99%