4 citations · 10 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
Properties of the l=1 radial part of the Laplace operator in a special scalar product
T. A. Bolokhov
We develop self-adjoint extensions of the l=1 radial part of the Laplace operator in a special scalar product. The product arises as the transfer of the plain product from R^3 into…
Spectral properties and self-adjoint extensions of the third power of the radial Laplace operator
T. A. Bolokhov
We consider self-adjoint extensions of differential operators of the type on the real semi-axis for l=1,2 with two kinds of boundary…
Extensions of the quadratic form of the transverse Laplace operator
T. A. Bolokhov
We review the quadratic form of the Laplace operator in 3 dimensions in spehrical coordinates which acts on the transverse components of vector functions. Operators, acting on the…
Regularization of propagators and logarithms in the background field method in 4-dimensions
T. A. Bolokhov
The determinant and higher loop terms, usually treated with the Pauli-Villars and higher covariant derivatives methods, in the background field method in 4 dimensions can hardly be…
Cross-Symmetric Expansion of Amplitude Near Threshold
A. A. Bolokhov, T. A. Bolokhov, I. S. Manida +2
The near-threshold expansion of the amplitude is developed using the crossing-covariant independent variables. The independent threshold parameters entering the real part of t…
Gauss Integration over Relativistic 3--Body Phase Space for 1--Dimensional Distributions of Reaction
A. A. Bolokhov, P. A. Bolokhov, T. A. Bolokhov +1
We present the analysis of the phase space geometry of 2 3 reaction for the general case of nonzero and unequal particle masses. Its purpose is to elaborate an altern…