Four identical particles, each with charge \(+q\), sit at the corners of a squre of side \(a\). Each particle creates an electric field at the center of the square of magnitude \(E_{o}\), and an electrostatic potential at the center of the square, \(V_{o}\).What is the el...
Integral equations for four identical particles: V. K. Kharchienko and V. E. Kuzmichev, Nucl. Phys. A183 (1972) 606doi:10.1016/0375-9474(72)90810-XNuclear Physics ANuclear Physics A
In this paper we study $J$-pairing Hamiltonian and find that the sum of eigenvalues of spin $I$ states equals sum of norm matrix elements within the pair basis for four identical particles such as four fermions in a single-$j$ shell or four bosons with spin $l$. We relate number of...
change in electric potential energy of the system as the particle at the lower left corner in the figure is brought to this position from infinitely far away. Assume the other three particles in the figure below remain fixed in position. If you ...
The problem of four identical spinless particles with separable two-particle interactions is considered. The integral equations of motion for four particles in the bound states and in the continuum states with two non-ihteracting subsystems in the initial channel are formulated. The angular-momentum...
nuclear theory nuclear theory/four body systems in, integral equations for identical-particleBased on the Faddeev-Yacubovsky approach, we obtain a set of integral equations for four particles in the simplest case when all the particles are identical and spinless (bosons). This set consists of ...
In this paper we study $J$-pairing Hamiltonian and find that the sum of\neigenvalues of spin $I$ states equals sum of norm matrix elements within the\npair basis for four identical particles such as four fermions in a single-$j$\nshell or four bosons with spin $l$. We relate number...
Question: Four identical charged particles (q=+10.2μC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L=57.0cm and W=14.3cm.(a) Calculate the magnitude of the total el...
many body problem/bound states in a system of four identical particlesThe energies of the bound S-states of the four identical particles with separable pair interactions are calculated on the basis of the integral equations for the system. It is found, besides the ground states of the four-...
By solving the equations obtained, the binding energies and wave functions of the low-lying 0 + states of the system of four identical bosons, as well as the scattering length of a particle scattered by three bound particles, are calculated. The solution of the set of integral equations, ...