Remarks on boson commutation rules
- Cite this article as:
- Itzykson, C. Commun.Math. Phys. (1967) 4: 92. doi:10.1007/BF01645755
- 101 Downloads
A group theoretical derivation is given of Bargmann's representation of the boson commutation rules in an Hilbert space of analytic functions. Several interesting problems arise in the study of the global representation of the canonical groupSp (2n, R). As a by-product we recover Laguerre-polynomials as spherical functions on the nilpotent Weyl group.