4 citations · 6 across the 9 of their papers we have counts for
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math-ph2013★ 1 cited
New criteria for self-adjointness and its application to Dirac-Maxwell Hamiltonian
Shinichiro Futakuchi, Kouta Usui
We present a new theorem concerning a sufficient condition for a symmetric operator acting in a complex Hilbert space to be essentially self-adjoint. By applying the theorem, we pr…
math-ph2013★ 4 cited
Construction of dynamics and time-ordered exponential for unbounded non-symmetric Hamiltonians
Shinichiro Futakuchi, Kouta Usui
We prove under certain assumptions that there exists a solution of the Schrodinger or the Heisenberg equation of motion generated by a linear operator H acting in some complex Hilb…
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.