TY - JOUR

T1 - Understanding quantum superarrivals using the Bohmian model

AU - Ali, Md Manirul

AU - Majumdar, A. S.

AU - Home, Dipankar

N1 - Funding Information:
D. Home thanks John Corbett for useful suggestions. Md. Manirul Ali acknowledges the grant of a research fellowship from Council of Scientific and Industrial Research, India.

PY - 2002/11/11

Y1 - 2002/11/11

N2 - We investigate the origin of "quantum superarrivals" in the reflection and transmission probabilities of a Gaussian wave packet for a rectangular potential barrier while it is perturbed by either reducing or increasing its height. There exists a finite time interval during which the probability of reflection is larger (superarrivals) while the barrier is lowered compared to the unperturbed case. Similarly, during a certain interval of time, the probability of transmission while the barrier is raised exceeds that for free propagation. We compute particle trajectories using the Bohmian model of quantum mechanics in order to understand how this phenomenon of superarrivals occurs.

AB - We investigate the origin of "quantum superarrivals" in the reflection and transmission probabilities of a Gaussian wave packet for a rectangular potential barrier while it is perturbed by either reducing or increasing its height. There exists a finite time interval during which the probability of reflection is larger (superarrivals) while the barrier is lowered compared to the unperturbed case. Similarly, during a certain interval of time, the probability of transmission while the barrier is raised exceeds that for free propagation. We compute particle trajectories using the Bohmian model of quantum mechanics in order to understand how this phenomenon of superarrivals occurs.

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U2 - 10.1016/S0375-9601(02)01353-1

DO - 10.1016/S0375-9601(02)01353-1

M3 - Article

AN - SCOPUS:0037064564

VL - 304

SP - 61

EP - 66

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 3-4

ER -