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Hiroshi Enatsu

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  • 3 chapters

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Through Spacetime

Academic works

Enatsu has found that the commutation relation

[ψ(x,τ),ψ∗(x′,τ)]=δ(x−x′)

in a relativistic Hamiltonian formalism is equivalent to that in the conventional non-relativistic Hamiltonian formalism of quantum field theory, where [ψ,ϕ]=ψϕ−ϕψ is the commutator, x is space-time coordinates, τ is proper time, ψ∗ is Hermitian adjoint of ψ, and δ(x) is the Dirac delta function, with the aid of the relation

ϵ(x−x′)ϵ(τ−τ′)=1.

Here, a step function ϵ(x) follows ϵ(x)=1 for 0<x, and ϵ(x)=−1 for x<0.

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