publication . Preprint . 2005

Wave function collapse implies divergence of average displacement

Marchewka, A.; Schuss, Z.;
Open Access English
  • Published: 14 Apr 2005
Abstract
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 other hand, if the truncation is done so that the reduced wave function is continuous, the average coordinate is finite and there is a Zeno effect. Therefore the collapse axiom of measurement needs to be revised.
Subjects
free text keywords: Quantum Physics
Download from

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).

[10] L.S. Schulman, “Zeno dynamics yields ordinary constraints”, Phy. Rev. A 65, 012108 (2001).

[11] D.N. Page, “The Einstein-Podolsky-Rosen reality is completely described by quantum mechanics”, Phy. Letters A 91, p.57 (1982).

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue