The conditional tunneling time for reflection using the WKB wave-function
S. Anantha Ramakrishna, A.M. Jayannavar
TL;DR
This paper derives a formula for the conditional reflection time of a wave from a potential barrier using the WKB approximation, revealing that for symmetric barriers, reflection and transmission times are equal.
Contribution
It introduces a new expression for conditional tunneling time based on the WKB wavefunction applicable to arbitrary barriers.
Findings
Conditional reflection time derived using WKB
Reflection and transmission times are equal for symmetric barriers
Results valid within WKB approximation
Abstract
We derive an expression for the conditional time for the reflection of a wave from an arbitrary potential barrier using the WKB wavefunction in the barrier region. Our result indicates that the conditional times for transmission and reflection are equal for a symmetric barrier within the validity of the WKB approach.
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