Fetching the paper…

Reading the bibliography…

On the interaction between two point electric charges · Around

2011

On the interaction between two point electric charges

Frolov, Alexei M.

Original
PDF
Post on X

Understand

The general formula for the interaction potential between two point electric charges which contains the lowest order corrections to the vacuum polarization is derived and investigated.

Analytical derivation of this formula is based on the closed analytical expression for the Uehling potential obtained earlier.
Our analytical formula has the correct asymtotic behaviour at small and large distances between two interacting electric charges.
We also discuss a number of problems which are of great interest in applications, e.g., vacuum polarization corrections to the Coulomb scattering and cusp value between two electrically charged particles.

Built on

E.A. Uehling, Phys. Rev. 48
1935
Earlier work this paper cites.
W. Pauli and Rose, Phys. Rev. 49
1936
Earlier work this paper cites.
W. Heitler, The Quantum Theoty of Radiation
1954
Earlier work this paper cites.
V.A. Fock, Izv. Akad. Nauk SSSR (Ser. Phys.) 18
1954
Earlier work this paper cites.
E.H. Wichmann and N.M. Kroll, Phys. Rev. 101
1956
Earlier work this paper cites.
A.I. Akhiezer and V.B. Beresteskii, Quantum Electrodynamics
1965
Earlier work this paper cites.
M. Moshinsky and C. Quesne, J. Math. Phys. 11
1970
Earlier work this paper cites.

Similar

Handbook of Mathematical Functions
1972
Cited alongside, same era.
V.V. Babikov, Method of Phase Functions in Quantum Mechanics
1976
Cited alongside, same era.
A.O. Barut and R. Raczka, Theory of Group Representations and Applications
1977
Cited alongside, same era.
V.I. Arnold, Additional Chapters from the Theory of Ordinary Differential Equations
1978
Cited alongside, same era.
L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields
1979
Cited alongside, same era.
A.M. Frolov, Analytical solution of the many-body Shrödinger equation
1982
Cited alongside, same era.

Then

A. Perelomov, Generalized Coherent States and Their Applications
1986
Later among the works it cites.
A.M. Frolov, J. Phys. B 23
1990
Later among the works it cites.
I.S. Gradstein and I.M. Ryzhik, Tables of Integrals, Series and Products
1994
Later among the works it cites.
L.D. Landau and E.M. Lifshitz, Quantum Mechanics. Non-relativistic Theory
1995
Later among the works it cites.
A.M. Frolov and D.M. Wardlaw, Eur. Phys. Jour. B 85
2012
Closest in time.
A.M. Frolov and D.M. Wardlaw, J. Comput. Science 4
2013
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…