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math-ph2026
Representation Theory of Canonical Commutation Relations Arising from the Quantization of the Klein-Gordon Equation with an External Potential
Yasumichi Matsuzawa, Itaru Sasaki, Akito Suzuki
We investigate the Weyl representation of the canonical commutation relations for a model describing a quantized massive scalar field under the influence of an external potential.…
math-ph2026
Holomorphy of the ground state and energy for bosonic quadratic Hamiltonians
Kota Imura, Shinnosuke Izumi, Yasumichi Matsuzawa +1
We study the holomorphy of the ground state and its energy with respect to the coupling constant for bosonic quadratic Hamiltonians. We prove general theorems establishing this hol…