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math-ph2013
Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing
Fumio Hiroshima, Itaru Sasaki
The lowest eigenvalue of non-commutative harmonic oscillators is studied. It is shown that can be decomposed into four self-adjoint operators, and all the eigenvalues of ea…
math-ph2013★ 1 cited
A Short Remark on the Polaron in the Semi-relativistic Pauli-Fierz Model
Itaru Sasaki
We consider the polaron of the spinless semi-relativistic Pauli-Fierz model. The Hamiltonian of the model is defined by $H(\mathbf{P}) = \sqrt{(\mathbf{P}-dΓ(\mathbf{k}) + e\bA)^2…
math-ph2013★ 3 cited
One Particle Binding of Many-Particle Semi-Relativistic Pauli-Fierz Model
Itaru Sasaki
It is shown that at least one particle is bound in the -particle semi-relativistic Pauli-Fierz model with negative potential $V(\bx)$. It is assumed that the particles have no s…