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math-ph2024
Some solutions to the eigenstate equation for the free quantum field Hamiltonian in the Schrödinger representation
T. A. Bolokhov
Using closed positive extensions of the quadratic form in the potential term we provide alternative solutions to the eigenstate equation for the free quantum field Hamiltonian in t…
math-ph2019
Singular perturbations of a free quantum field Hamiltonian
T. A. Bolokhov
We study solutions of the functional eigenstate equation of a free quantum field Hamiltonian. Admissible solutions are to have a finite norm and a finite eigenvalue w.r.t. the norm…
math-ph2015★ 2 cited
Quantum Hamiltonian eigenstates for a free transverse field
T. A. Bolokhov
We demonstrate that quantum Hamiltonian operator for a free transverse field within the framework of the second quantization reveals an alternative set of states satisfying the eig…