Wave function collapse implies divergence of average displacement

Preprint English OPEN
Marchewka, A. ; Schuss, Z. (2005)
  • Subject: Quantum Physics

We show that propagating a truncated discontinuous wave function by Schr\"odinger's equation, as asserted by the collapse axiom, gives rise to non-existence of the average displacement of the particle on the line. It also implies that there is no Zeno effect. On the oth... View more
  • References (12)
    12 references, page 1 of 2

    Ψ(0, 0) = 0, the above analysis gives

    [1] R.P. Feynman, R.B. Leighton, M. Sands, The Feynman Lectures on Physics, vol.3, Addison Wesley, Reading, MA 1965.

    [2] C. Cohen-Tanoudji, B. Diu, and F. Lalo¨e, Quantum Mechanics, Wiley, NY, 1977.

    [3] M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, Dover, NY 1964.

    [4] S.M. Bender and S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, NY 1978.

    [5] J. Preskill, Lecture Notes, http://www.theory.caltech.edu/∼preskill/ph219/index.html # lecture.

    [6] K. Koshino, A. Shimizu, “Quantum Zeno effect by general measurements”, quant-ph/0411145

    [7] R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, NY. 1965

    [8] L.S. Schulman, Techniques and Applications of Path Integrals, Wiley, NY.

    [9] M. Berry, “Quantum fractals in boxes” J. Phys. A 29 p.6617 (1996).

  • Metrics
    No metrics available
Share - Bookmark