On the two fundamental problems: Tunneling Time Delay and Electric Charge Quantization
Abstract: The Wigner time delay, which is a measure for tunneling time delay, is calculated by using the fixed energy propagator. The developed formalism is applied to the non relativistic as well as to the relativistic regime of the tunnel- ionization process from a zero-range potential. It is shown that while in the deep-tunneling regime signatures of the tunneling time delay are not measurable at remote distance, it is detectable, however, in the near-threshold-tunneling regime. Furthermore, the path-dependent formulation of gauge theory is discussed. It is demonstrated that this equivalent formulation of gauge theory leads to a canonical gauge fixing, in which the Feynman path integral becomes more intuitive. Finally, the topological effects in quantum mechanics are discussed within the developed formalism.
Reminder: Tea and cookies will be in the seminar room before the seminar.