Foundations of Physics

, Volume 36, Issue 1, pp 19–29

Spin-Zero Particles must be Bosons: A New Proof within Nonrelativistic Quantum Mechanics

Authors

    • Physics DivisionArgonne National Laboratory
Article

DOI: 10.1007/s10701-005-9011-2

Cite this article as:
Peshkin, M. Found Phys (2006) 36: 19. doi:10.1007/s10701-005-9011-2

Abstract

The key assumption is that of Leinaas and Myrheim and of Berry and Robbins, here specialized to spin zero: for n particles, the argument of the wave function should be the unordered multiplet {r1,r2,...,rn}. I also make use of the requirement that wave functions in the domain of the Hamiltonian must be continuous functions of the spatial variables. The new proof presented here has advantages of simplicity and transparency in comparison with earlier work based on the same two principles and it uses weaker assumptions, especially avoiding the use of rotations of the relative coordinate of identical particles.

Keywords

spin statisticsnonrelativistic quantum mechanics

Copyright information

© Springer Science+Business Media, Inc. 2006