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math.FA2014★ 1 cited
Time-ordered exponential on the complex plane and Gell-Mann -- Low formula as a mathematical theorem
Shinichiro Futakuchi, Kouta Usui
The time-ordered exponential representation of a complex time evolution operator in the interaction picture is studied. Using the complex time evolution, we prove the Gell-Mann --…
math.FA2013
On the spectra of fermionic second quantization operators
Shinichiro Futakuchi, Kouta Usui
We derive several formulae for the spectra of the second quantization operators in abstract fermionic Fock spaces.