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Within the framework of nonrelativisitic quantum electrodynamics we consider a single nucleus and N electrons coupled to the radiation field. Since the total momentum P is conserved, the Hamiltonian H admits a fiber decomposition with respect to P with fiber Hamiltonian H(P ). A stable atom, resp. ion, means that the fiber Hamiltonian H(P ) has an… (More)

The bipolaron are two electrons coupled to the elastic deformations of an ionic crystal. We study this system in the Fröhlich approximation. If the Coulomb repulsion dominates, the lowest energy states are two well separated polarons. Otherwise the electrons form a bound pair. We prove the validity of the Pekar-Tomasevich energy functional in the strong… (More)

We consider a charged particle, spin 12 , with relativistic kinetic energy and minimally coupled to the quantized Maxwell field. Since the total momentum is conserved, the Hamiltonian admits a fiber decomposition as H(P ), P ∈ R3. We study the spectrum of H(P ). In particular we prove that, for non-zero photon mass, the ground state is exactly two-fold… (More)

Degeneracy of the eigenvalues of the Pauli-Fierz Hamiltonian with spin 1/2 is proven by the Kramers degeneracy theorem. The Pauli-Fierz Hamiltonian at fixed total momentum is also investigated.

- M ICHIHARA, T MIYAO, +5 authors R YAMADA
- Jibi inkōka Otolaryngology
- 1963

- M ICHIHARA, T MIYAO, +5 authors T NAKAJIMA
- Jibi inkōka Otolaryngology
- 1963

- T YAMAMOTO, M ICHIHARA, +7 authors R ODA
- Shōwa Igakkai zasshi = The Journal of the Showa…
- 1963

The retarded van-der-Waals potential, as first obtained by Casimir and Polder, is usually computed on the basis of nonrelativistic QED. The hamiltonian describes two infinitely heavy nuclei, charge e, separated by a distance R and two spinless electrons, charge −e, nonrelativistically coupled to the quantized radiation field. Casimir and Polder use the… (More)

- M ICHIHARA, T MIYAO, +5 authors R ODA
- Jibi inkōka Otolaryngology
- 1962

- T YAMAMOTO, M ICHIHARA, +7 authors R ODA
- Shōwa Igakkai zasshi = The Journal of the Showa…
- 1963

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