| Full text | |
| Author(s): |
De Leo, Stefano
;
Solidoro, Leonardo
Total Authors: 2
|
| Document type: | Journal article |
| Source: | EUROPEAN PHYSICAL JOURNAL PLUS; v. 137, n. 4, p. 13-pg., 2022-04-11. |
| Abstract | |
Delay times in quantum mechanics always represented an intriguing challenge for physicists. Due to the fact that quantum mechanical experiments are, often, hard to be implemented, the possibility to connect delay times with laser lateral displacements gives us the opportunity to prepare, in optical laboratories, experiments which are equivalent to the quantum mechanical ones in detecting delay times. In this article, we will show in detail not only the relationship between delay times and Goos-Hanchen shifts, but also the close connection between the impulse change in quantum mechanics and angular deviations in optics. Lateral shifts are caused by the phase of Fresnel coefficients whereas angular deviations by the breaking of symmetry of the wave number distributions. The classical formula for the delay time is based on the use of the stationary phase method and contains a divergence for incidence at a critical potential energy. For Gaussian beams, the mean value calculation removes such a divergence. The closed expression for the delay time for incidence at critical energy shows an excellent agreement with the numerical calculation. The three-dimensional analysis of delay times allows to find the final and definitive connection between wave packets reflected by a potential in quantum mechanics and optical beams reflected by a dielectric/air interface. (AU) | |
| FAPESP's process: | 19/06382-9 - Theoretical anf experimental analysis of the transversal breaking of symmetry, lateral displacements, angular deviations and light oscillations in the propagation of optical beam thorugh dielectric blocks. |
| Grantee: | Stefano de Leo |
| Support Opportunities: | Regular Research Grants |