Tunneling times through a barrier with inelasticity

Paul, Arya; Saha, Asit; Bandopadhyay, Swarnali; Dutta-Roy, Binayak

doi:10.1140/epjd/e2007-00050-8

Cited by 10 publications

(18 citation statements)

References 6 publications

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“…The problem of tunneling time was also studied for complex potentials. For complex potentials associated with elastic and inelastic channels, the tunneling time was found to saturate with the thickness of the barrier for the case of weak absorptions [21,22].…”

Section: Introductionmentioning

confidence: 99%

Tunneling time in space fractional quantum mechanics

Hasan

Mandal

2018

Physics Letters A

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We calculate the time taken by a wave packet to travel through a classically forbidden region of space in space fractional quantum mechanics. We obtain the close form expression of tunneling time from a rectangular barrier by stationary phase method. We show that tunneling time depends upon the width $b$ of the barrier for $b \to \infty$ and therefore Hartman effect doesn't exist in space fractional quantum mechanics. Interestingly we found that the tunneling time monotonically reduces with increasing $b$. The tunneling time is smaller in space fractional quantum mechanics as compared to the case of standard quantum mechanics. We recover the Hartman effect of standard quantum mechanics as a special case of space fractional quantum mechanics.Comment: 13 pages, 2 Figures, Published online in Physics Letter

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Section: Introductionmentioning

confidence: 99%

Tunneling time in space fractional quantum mechanics

Hasan

Mandal

2018

Physics Letters A

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“…For the complex Hulthen potential V (z) with the parameters given in Eq. 3 we consider a system of two single-mode waveguides coupled [45,46] to each other corresponding to the real and imaginary part of V (z). We denote the two waveguides as W G R and W G I which are corresponding to the real and the imaginary parts of V (z) respectively.…”

Section: Waveguide Analog Of Non-hermitian Hulthen Potentialmentioning

confidence: 99%

A black potential for spin less particles

2015

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We consider the most general non-Hermitian Hulthen potential to study the scattering of spin-less relativistic particles. The conditions for CC, SS and CPA are obtained analytically for this potential. We show that almost total absorption occurs for entire range of incidence energy for certain parameter ranges of the potential and hence term this as `black potential'. Time reversed of the same potential shows perfect emission for the entire range of particle energy. We also present the classical analog of this potential in terms of waveguide cross section.Comment: Latex, 23 pages, 7 Fig

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“…Hartman effect doesn't exist in complex barrier tunneling [16]. However the approach presented in [16] have been questioned in [17] and a two channel formalism for incorporating inelasticity in barrier potential shows that Hartman effect exist for inelastic barriers with weak absorption [17,18]. We have also calculated tunneling time in space fractional quantum mechanics (SFQM) and it is shown analytically that Hartman effect doesn't occur in SFQM [19].…”

Section: Introductionmentioning

confidence: 99%

Hartman effect from layered PT-symmetric system

Hasan

Mandal

2020

Eur. Phys. J. Plus

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The time taken by a wave packet to cross through a finite layered P T -symmetric system is calculated by stationary phase method. We consider the P T -symmetric system of fix spatial length L consisting of N units of the potential system '+iV ' and '−iV ' of equal width 'b' such that L = 2N b. In the limit of large 'b', the tunneling time is found to be independent of L and therefore the layered P T -symmetric system display the Hartman effect. The interesting limit of N → ∞ such that L remains finite is investigated analytically. In this limit the tunneling time matches with the time taken to cross an empty space of length L. The result of this limiting case N → ∞ also shows the consistency of phase space method of calculating the tunneling time despite the existence of controversial Hartman effect. The reason of Hartman effect is unknown to present day however the other definitions of tunneling time that indicate a delay which depends upon the length of traversing region have been effectively ruled out by recent attosecond measurements.

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Tunneling times through a barrier with inelasticity

Cited by 10 publications

References 6 publications

Tunneling time in space fractional quantum mechanics

Tunneling time in space fractional quantum mechanics

A black potential for spin less particles

Hartman effect from layered PT-symmetric system

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