# Peculiarities of electron energy spectrum in Coulomb field of super heavy nucleus

@article{Gitman2015PeculiaritiesOE, title={Peculiarities of electron energy spectrum in Coulomb field of super heavy nucleus}, author={Dmitri Maximovitch Gitman and B. L. Voronov and R. Ferreira and A. D. Levin}, journal={arXiv: High Energy Physics - Theory}, year={2015} }

Just after the Dirac equation was established, a number of physicists tried to comment on and solve the spectral problem for the Dirac Hamiltonian with the Coulomb field of arbitrarily large charge $Z$, especially with $Z$ that is more than the critical value $Z_{\mathrm{c}}=\alpha^{-1}\simeq137,04$, making sometimes contradictory conclusions and presenting doubtful solutions. It seems that there is no consesus on this problem up until now and especially on the way of using corresponding…

## References

SHOWING 1-10 OF 21 REFERENCES

### Quantization of charged fields in the presence of critical potential steps

- Physics
- 2016

QFT approaches elaborated for treating quantum effects in time-dependent external electric fields are not directly applicable to time-independent nonuniform electric fields that are given by a step…

### Quantum Mechanics of One- and Two-Electron Atoms

- Physics
- 1957

One of the simplest, and most completely treated, fields of application of quantum mechanics is the theory of atoms with one or two electrons. For hydrogen and the analcgous ions He+, Li++, etc., the…

### Quantum electrodynamics with unstable vacuum

- Physics
- 1991

1 Introduction.- 1.1 General Introduction and Definition of Notation.- 1.1.1 Chronological Review.- 1.1.2 Basic Notation.- 1.2 Quantum Electrodynamics with an External Field.- 2 Scattering Processes…

### Quantum Electrodynamics of Strong Fields: With an Introduction into Modern Relativistic Quantum Mechanics

- Physics
- 1985

1. Introduction.- 1.1 The Charged Vacuum.- 1.2 From Theory to Experimental Verification.- 1.2.1 Superheavy Quasimolecules.- 1.2.2 Nuclear Sticking.- 1.2.3 K-Shell Ionization.- 1.3 Theoretical…

### Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials

- Mathematics, Physics
- 2012

Introduction.- Linear Operators in Hilbert Spaces.- Basics of Theory of s.a. Extensions of Symmetric Operators.- Differential Operators.- Spectral Analysis of s.a. Operators.- Free One-Dimensional…

### Quantum electrodynamics of strong fields

- Physics
- 1985

Up to now, our considerations in this book have mainly treated the behaviour of electrons (or positrons) under the influence of weak perturbations. In this chapter we want to deal with phenomena that…

### Theoretical and Mathematical Physics

- Physics
- 2004

A new effective method for solving three-dimensional problems of electromagnetic wave diffraction by impedance bodies with irregular boundaries is proposed. The method offers a high rate of…

### Introductory Nuclear Physics

- Physics
- 1955

BASIC NUCLEAR STRUCTURE. Basic Concepts. Elements of Quantum Mechanics. Nuclear Properties. The Force Between Nucleons. Nuclear Models. NUCLEAR DECAY AND RADIOACTIVITY. Radioactive Decay. Detecting…

### Higher Transcendental Functions

- PsychologyNature
- 1955

Higher Transcendental FunctionsBased, in part, on notes left by the late Prof. Harry Bateman, and compiled by the Staff of the Bateman Project. Vol. 1. Pp. xxvi + 302. 52s. Vol. 2. Pp. xvii + 396.…

### A Table of Integrals

- Mathematics
- 2010

Basic Forms x n dx = 1 n + 1 x n+1 (1) 1 x dx = ln |x| (2) udv = uv − vdu (3) 1 ax + b dx = 1 a ln |ax + b| (4) Integrals of Rational Functions 1 (x + a) 2 dx = −