## Abstract

It is a general result of one-dimensional non-relativistic quantum mechanics that the coefficient of reflection (reflected flux) is the same irrespective of the direction of traversing a potential barrier, a result that is independent of the barrier shape. In this note, the authors consider the transmission coefficient instead, and derive a strong result, namely that the transmission amplitude is independent of the direction of barrier traversal. That is, the transmission amplitude has the same complex phase as well as being unchanged in magnitude by changing the barrier around. This process was called inversion of reflection. 2 refs.

## Citation Formats

Clerk, G L, and Davies, A J.
Inversion of reflection for the one-dimensional Dirac equation.
Australia: N. p.,
1991.
Web.

Clerk, G L, & Davies, A J.
Inversion of reflection for the one-dimensional Dirac equation.
Australia.

Clerk, G L, and Davies, A J.
1991.
"Inversion of reflection for the one-dimensional Dirac equation."
Australia.

@misc{etde_10102532,

title = {Inversion of reflection for the one-dimensional Dirac equation}

author = {Clerk, G L, and Davies, A J}

abstractNote = {It is a general result of one-dimensional non-relativistic quantum mechanics that the coefficient of reflection (reflected flux) is the same irrespective of the direction of traversing a potential barrier, a result that is independent of the barrier shape. In this note, the authors consider the transmission coefficient instead, and derive a strong result, namely that the transmission amplitude is independent of the direction of barrier traversal. That is, the transmission amplitude has the same complex phase as well as being unchanged in magnitude by changing the barrier around. This process was called inversion of reflection. 2 refs.}

place = {Australia}

year = {1991}

month = {Dec}

}

title = {Inversion of reflection for the one-dimensional Dirac equation}

author = {Clerk, G L, and Davies, A J}

abstractNote = {It is a general result of one-dimensional non-relativistic quantum mechanics that the coefficient of reflection (reflected flux) is the same irrespective of the direction of traversing a potential barrier, a result that is independent of the barrier shape. In this note, the authors consider the transmission coefficient instead, and derive a strong result, namely that the transmission amplitude is independent of the direction of barrier traversal. That is, the transmission amplitude has the same complex phase as well as being unchanged in magnitude by changing the barrier around. This process was called inversion of reflection. 2 refs.}

place = {Australia}

year = {1991}

month = {Dec}

}