Hannover 2020 – scientific programme

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A: Fachverband Atomphysik

A 2: Attosecond physics I

A 2.7: Talk

Monday, March 9, 2020, 12:45–13:00, f107

Time operator, real tunneling time in strong field interaction and the attoclock — •Ossama Kullie — Institute of Physics, Department of Mathematics and Natural Science, University of Kassel.

In the present work, we show that our real tunneling time relation derived in earlier works [1] can be derived from an observable or a time operator, which obeys an ordinary commutation relation. Moreover, we show that our real tunneling time has a close relation or actually is equivalent to the Eisenbud-Wigner delay time. Furthermore it can also be constructed from the well-known Aharonov-Bohm time operator. This shows that the specific form of the time operator is not decisive, and dynamical time operators relate identically to the intrinsic time of the system. It contrasts the famous Pauli theorem, and confirms the fact that time is an observable, i.e. the existence of time operator and that the time is not a parameter in quantum mechanics. We discuss the relations with different types of tunneling times such as Eisenbud-Wigner time, dwell time and the statistically or probabilistic defined tunneling time. [1] O. Kullie, Phys. Rev. A. 92, 052118 (2015), Ann. of Phys. 389, 333 (2018), Mathematics 6, 192 (2018)