ISSN:
1572-9575
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We second quantize a relativistic Schrödinger equation involving a HamiltonianH that describes free spin-1/2 particles and that depends on a parameterG. We require a positive definite metric and a positive definite energy in the Fock space in which the field ψ(x,t) and its adjoint operate. IfG=±i, one obtains the usual second-quantized Dirac theory, but for real values ofG one has Bose statistics. Whereas the anticommutator [ψ(x,t), ψ * (x′,t′)]+ vanishes for a Dirac field when the interval between (x,t) and (x′,t′) lies outside the light cone, whenG is real the commutator [ψ (x,t), ψ * (x′,t′)− vanishes for such points.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01807914
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