6 citations · 7 across the 5 of their papers we have counts for
5 papers
Rigged Liouville space formulation for quasi-Hermitian Liouville operators
Shousuke Ohmori, Junichi Takahashi
We discuss a super bra-ket formalism for quasi-Hermitian Liouvillian operators within the framework of rigged Hilbert spaces (RHS). An RHS in terms of the Liouville space, referred…
Rigged Hilbert Space Formulation of Quantum Thermo Field Dynamics and Mapping to Rigged Liouville Space
Junichi Takahashi, Shousuke Ohmori
The rigged Hilbert space, a triplet extension of the Hilbert space, provides a mathematically rigorous foundation for quantum mechanics by extending the Hilbert space to accommodat…
Rigged Hilbert Space formulation for quasi-Hermitian composite systems
Shousuke Ohmori
The discussion in this study delves into Dirac's bra-ket formalism for a quasi-Hermitian quantum composite system based on the rigged Hilbert space (RHS). We establish an RHS with…
General Construction of Bra-Ket Formalism for Identical Particle Systems in Rigged Hilbert Space Approach
S. Ohmori, J. Takahashi
This study discussed Dirac's bra-ket formalism for the identical particles system based on the rigged Hilbert space reformulated by R. Madrid [J. Phys A:Math. Gen. 37, 8129 (2004)]…
Rigged Hilbert Space Approach for Non-Hermite Systems with Positive Definite Metric
Shousuke Ohmori, Junichi Takahashi
We investigate Dirac's bra-ket formalism based on a rigged Hilbert space for a non-Hermite quantum system with a positive-definite metric. First, the rigged Hilbert space, characte…