3 papers
math-ph2026
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…
math-ph2025
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…
math-ph2025
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)]…