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Chapter 19: Time-Delay, Reflection Time Operator and Minimum Tunneling Time

      https://doi.org/10.1142/9789814525022_0019Cited by:0 (Source: Crossref)
      Abstract:

      One of the controversial issues of modern quantum theory is the question of tunneling time, i.e. the time that takes a particle to move from one side of the barrier to the other side. We can classify the problems related to the tunneling time into two groups:

      • (1) – In the first group we have a well-defined formulation and an unambiguous way of measuring the time that is related to the motion under the barrier. among these are the following examples:

        • (a) – Oscillations of a wave packet in a double-well potential such as the period of motion in a NH3 molecule, Sec. 25.5.

        • (b) – Lifetime of a particle or system of particles trapped behind a barrier, and by tunneling can escape to infinity, e.g. α-decay.

        • (c) – A lesser known, but the case of reection time which allows for an exact quantum-mechanical formulation, and will be discussed later in this chapter.