Abstract
For wavefunctions whose fourier spectrum (wavenumber or frequency) is positive, the local phase gradient can sometimes be negative; examples of this 'backflow' occur in quantum mechanics and optics. The backflow probability P (fraction of the region that is backflowing) is calculated for several cases. For waves that are superpositions of many uncorrelated components, P = (1 − r)/2, where r is a measure of the dispersion (mean/r.m.s.) of the component frequencies or wavenumbers. In two dimensions (backflow in spacetime, or wave propagation in the plane) the boundary of the backflowing region includes the phase singularities of the wave.
| Translated title of the contribution | Quantum backflow, negative kinetic energy, and optical retro-propagation |
|---|---|
| Original language | English |
| Pages (from-to) | 1 - 15 |
| Number of pages | 15 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 43 |
| DOIs | |
| Publication status | Published - Sept 2010 |