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 {r 1,r 2,...,r n }. 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.
Similar content being viewed by others
References
Pauli W. (1940). Phys. Rev 58:716
Weinberg S. (1975). The Quantum Theory of Fields, Vol 1, Chap 5. Cambridge University Press, Cambridge
Duck I. and Sudarshan E.C.G. (1998). Am. J. Phys. 66:284
Messiah A.M.L. and Greenberg O.W. (1964). Phys. Rev. B 248:136
Leinaas J.M., Myrheim J. (1977). Nuovo Cimento B 37:1
Berry M.V. and Robbins J.M. (1997). Proc. Roy. Soc. London, A 453: 1771
Berry M.V. and Robbins J.M. (2000). J. Phys. A 33:L207
M. Peshkin, Phys. Rev. A 67, 042102 (2003) (For a Comment and Reply, see R. E. Allen and A. R. Mondragon, Phys. Rev. A 68, 046101 (2003) and M. Peshkin, Phys. Rev. A 68, 046102 (2003)).
A. Shaji and E. C. G. Sudarshan, e-print quant-ph/0306033 v2.
M. Peshkin, e-print quant-ph/0402118.
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper is offered as a respectful memorial to the late Asher Peres, whose work was enormously influential in advancing quantum physics at the foundations level.
Rights and permissions
About this article
Cite this article
Peshkin, M. Spin-Zero Particles must be Bosons: A New Proof within Nonrelativistic Quantum Mechanics. Found Phys 36, 19–29 (2006). https://doi.org/10.1007/s10701-005-9011-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10701-005-9011-2