Ground states and spectrum of quantum electrodynamics of nonrelativistic particles
F Hiroshima - Transactions of the American Mathematical Society, 2001 - ams.org
Transactions of the American Mathematical Society, 2001•ams.org
A system consisting of finitely many nonrelativistic particles bound on an external potential
and minimally coupled to a massless quantized radiation field without the dipole
approximation is considered. An ultraviolet cut-off is imposed on the quantized radiation
field. The Hamiltonian of the system is defined as a self-adjoint operator in a Hilbert space.
The existence of the ground states of the Hamiltonian is established. It is shown that there
exist asymptotic annihilation and creation operators. Hence the location of the absolutely …
and minimally coupled to a massless quantized radiation field without the dipole
approximation is considered. An ultraviolet cut-off is imposed on the quantized radiation
field. The Hamiltonian of the system is defined as a self-adjoint operator in a Hilbert space.
The existence of the ground states of the Hamiltonian is established. It is shown that there
exist asymptotic annihilation and creation operators. Hence the location of the absolutely …
Abstract
A system consisting of finitely many nonrelativistic particles bound on an external potential and minimally coupled to a massless quantized radiation field without the dipole approximation is considered. An ultraviolet cut-off is imposed on the quantized radiation field. The Hamiltonian of the system is defined as a self-adjoint operator in a Hilbert space. The existence of the ground states of the Hamiltonian is established. It is shown that there exist asymptotic annihilation and creation operators. Hence the location of the absolutely continuous spectrum of the Hamiltonian is specified. References
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