Quantum Physics for Beginners by Zbigniew Ficek

Author:Zbigniew Ficek
Language: eng
Format: epub, pdf
ISBN: 9781138031593
Publisher: Taylor & Francis Group, LLC
Published: 2016-02-13T16:00:00+00:00

Since B ≠ 0, as the particle exists inside the well, we have C ≠ 0, indicating that there is a nonzero probability of finding the particle in region I. The probability is given by |ϕ1(x)|2, that is

where |x| = –x for x < 0. Thus,

The probability is different from zero and decreases exponentially with the rate 2k1. The remaining constant |B| is found from the normalization condition of ϕ(x).

We may conclude that even though the particle’s energy is smaller than the value of V outside the well, there is still a definite probability that the particle can be found outside the well.

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