Radiation physics and chemistry (Oxford, England : 1993), ISSN 0969-806X, 2013, Volume 85, pp. 118 - 123

.... Herein we present an implementation for the widely used GRASP atomic-structure code based on Welton's concept of the electron self-energy...

QED | Screening | Self-energy | Atomic structure | GRASP | VACUUM-POLARIZATION | STRONG COULOMB FIELD | MULTICONFIGURATIONAL DIRAC-FOCK | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | TRANSITION ENERGIES | CHEMISTRY, PHYSICAL | CU-LIKE IONS | NUCLEAR SIZE | LI-LIKE | QED CORRECTIONS | NUCLEAR SCIENCE & TECHNOLOGY | RADIATIVE-CORRECTIONS | NA-LIKE

QED | Screening | Self-energy | Atomic structure | GRASP | VACUUM-POLARIZATION | STRONG COULOMB FIELD | MULTICONFIGURATIONAL DIRAC-FOCK | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | TRANSITION ENERGIES | CHEMISTRY, PHYSICAL | CU-LIKE IONS | NUCLEAR SIZE | LI-LIKE | QED CORRECTIONS | NUCLEAR SCIENCE & TECHNOLOGY | RADIATIVE-CORRECTIONS | NA-LIKE

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 04/2015, Volume 286

We present a numerical integration scheme for evaluating the convolution of a Green's function with a screened Coulomb potential on the real axis in the GW approximation of the self energy...

POLYNOMIALS | GREEN FUNCTION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | APPROXIMATIONS | ELECTRONS | MANY-BODY PROBLEM | QUADRATURES | COULOMB FIELD | SELF-ENERGY

POLYNOMIALS | GREEN FUNCTION | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | APPROXIMATIONS | ELECTRONS | MANY-BODY PROBLEM | QUADRATURES | COULOMB FIELD | SELF-ENERGY

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 01/2012, Volume 85, Issue 1

We present results from numerical calculations in the Coulomb gauge of the first-order self-energy shift of bound hydrogenic states in highly stripped ions...

ELECTRON | OPTICS | LAMB-SHIFT | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Accuracy | Operators | Coulomb friction | Mathematical analysis | Gages | Gauges | Fysik | Subatomär fysik | Atom and Molecular Physics and Optics | Physical Sciences | Subatomic Physics | Atom- och molekylfysik och optik

ELECTRON | OPTICS | LAMB-SHIFT | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Accuracy | Operators | Coulomb friction | Mathematical analysis | Gages | Gauges | Fysik | Subatomär fysik | Atom and Molecular Physics and Optics | Physical Sciences | Subatomic Physics | Atom- och molekylfysik och optik

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 2010, Volume 81, Issue 1

.... The self-energy corrections to these effects are more difficult to evaluate than those to the Lamb shift...

ATOMS | RADIATIVE-CORRECTIONS | OPTICS | GROUND-STATE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | ATOMIC NUMBER | CORRECTIONS | MAGNETIC FIELDS | DIMENSIONLESS NUMBERS | HYPERFINE STRUCTURE | ELECTRONS | FERMIONS | IONS | SPECTRAL SHIFT | FUNCTIONS | PARTICLE PROPERTIES | LANDE FACTOR | ANGULAR MOMENTUM | LEPTONS | CHARGED PARTICLES | COULOMB FIELD | LAMB SHIFT | SELF-ENERGY | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | ENERGY | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ATOMIC AND MOLECULAR PHYSICS | ELEMENTARY PARTICLES | ELECTRIC FIELDS

ATOMS | RADIATIVE-CORRECTIONS | OPTICS | GROUND-STATE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | ATOMIC NUMBER | CORRECTIONS | MAGNETIC FIELDS | DIMENSIONLESS NUMBERS | HYPERFINE STRUCTURE | ELECTRONS | FERMIONS | IONS | SPECTRAL SHIFT | FUNCTIONS | PARTICLE PROPERTIES | LANDE FACTOR | ANGULAR MOMENTUM | LEPTONS | CHARGED PARTICLES | COULOMB FIELD | LAMB SHIFT | SELF-ENERGY | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | ENERGY | SPIN | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ATOMIC AND MOLECULAR PHYSICS | ELEMENTARY PARTICLES | ELECTRIC FIELDS

Journal Article

Journal of Electrostatics, ISSN 0304-3886, 02/2017, Volume 85, pp. 52 - 60

We report a concise expression for the electrostatic Coulomb self-energy of a uniformly charged cube with arbitrary dimensionality...

Uniformly charged d-cube | Physics-based numerical method | Electrostatic potential | Coulomb interaction | SYSTEM | DIMENSIONS | SQUARE | ELECTRONS | GENERALIZED THOMSON PROBLEM | CRYSTAL | ENGINEERING, ELECTRICAL & ELECTRONIC | Case studies | Plasma physics | Analysis | Methods

Uniformly charged d-cube | Physics-based numerical method | Electrostatic potential | Coulomb interaction | SYSTEM | DIMENSIONS | SQUARE | ELECTRONS | GENERALIZED THOMSON PROBLEM | CRYSTAL | ENGINEERING, ELECTRICAL & ELECTRONIC | Case studies | Plasma physics | Analysis | Methods

Journal Article

6.
Full Text
Electron self-energy in the presence of a magnetic field: Hyperfine splitting and g factor

Physical Review Letters, ISSN 0031-9007, 04/2008, Volume 100, Issue 16, p. 163001

A high-precision numerical calculation is reported for the self-energy correction to the hyperfine splitting and to the bound-electron g factor in hydrogenlike ions with low nuclear charge numbers...

TESTS | CONSTANTS | GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | HELIUM ION | ATOMS | SYSTEMS | RADIATIVE-CORRECTIONS | PHYSICS | HYDROGEN MASER | Physics - Atomic Physics | ATOMIC NUMBER | MAGNETIC FIELDS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | HYPERFINE STRUCTURE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ELECTRONS | IONS | QUANTUM ELECTRODYNAMICS | COULOMB FIELD | LANDE FACTOR | SELF-ENERGY | BOUND STATE

TESTS | CONSTANTS | GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | HELIUM ION | ATOMS | SYSTEMS | RADIATIVE-CORRECTIONS | PHYSICS | HYDROGEN MASER | Physics - Atomic Physics | ATOMIC NUMBER | MAGNETIC FIELDS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | HYPERFINE STRUCTURE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ELECTRONS | IONS | QUANTUM ELECTRODYNAMICS | COULOMB FIELD | LANDE FACTOR | SELF-ENERGY | BOUND STATE

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 2006, Volume 73, Issue 1

The one-loop self-energy is evaluated for d(3/2) and d(5/2) states in hydrogenic ions, and good agreement found with previous calculations...

PERTURBATION-THEORY | ELECTRON | STRONG COULOMB FIELD | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYSTEMS | OPTICS | CU-LIKE IONS | LAMB-SHIFT | LI-LIKE | HEAVY-ATOMS | NA-LIKE

PERTURBATION-THEORY | ELECTRON | STRONG COULOMB FIELD | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | SYSTEMS | OPTICS | CU-LIKE IONS | LAMB-SHIFT | LI-LIKE | HEAVY-ATOMS | NA-LIKE

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 10/2005, Volume 72, Issue 4

A scheme for the numerical evaluation of the one-loop self-energy correction to all orders in Z alpha is presented...

BOUND-ELECTRON | VACUUM-POLARIZATION | STRONG COULOMB FIELD | COORDINATE-SPACE APPROACH | WAVE MASS RENORMALIZATION | H-LIKE IONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | RADIATIVE-CORRECTIONS | OPTICS | ELECTRON G-FACTOR | HYDROGENLIKE SYSTEMS | LAMB-SHIFT | Physics - Atomic Physics | CORRECTIONS | FINE STRUCTURE | EXPANSION | ATOMIC AND MOLECULAR PHYSICS | EVALUATION | POTENTIALS | QUANTUM ELECTRODYNAMICS | SELF-ENERGY | PARTIAL WAVES

BOUND-ELECTRON | VACUUM-POLARIZATION | STRONG COULOMB FIELD | COORDINATE-SPACE APPROACH | WAVE MASS RENORMALIZATION | H-LIKE IONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | RADIATIVE-CORRECTIONS | OPTICS | ELECTRON G-FACTOR | HYDROGENLIKE SYSTEMS | LAMB-SHIFT | Physics - Atomic Physics | CORRECTIONS | FINE STRUCTURE | EXPANSION | ATOMIC AND MOLECULAR PHYSICS | EVALUATION | POTENTIALS | QUANTUM ELECTRODYNAMICS | SELF-ENERGY | PARTIAL WAVES

Journal Article

Annals of Physics (New York), ISSN 0003-4916, 01/2013, Volume 328

A contribution of virtual electron states with large wave numbers to the self-energy of an electron bound in the weak Coulomb field is analyzed in the context of the evaluation method suggested in the previous paper...

CORRECTIONS | VIRTUAL STATES | APPROXIMATIONS | ELECTRONS | ATOMIC AND MOLECULAR PHYSICS | MULTICHARGED IONS | QUANTUM ELECTRODYNAMICS | COULOMB FIELD | GROUND STATES | SELF-ENERGY | BOUND STATE

CORRECTIONS | VIRTUAL STATES | APPROXIMATIONS | ELECTRONS | ATOMIC AND MOLECULAR PHYSICS | MULTICHARGED IONS | QUANTUM ELECTRODYNAMICS | COULOMB FIELD | GROUND STATES | SELF-ENERGY | BOUND STATE

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 10/2003, Volume 68, Issue 4, p. 042101/17

We present results on the self-energy correction to the energy levels of hydrogen and hydrogenlike ions...

RYDBERG CONSTANT | FREQUENCY-MEASUREMENT | BETHE LOGARITHMS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | NUMERICAL VALUE | VALUES | RADIATIVE LEVEL SHIFTS | TRANSITIONS | OPTICS | ORDER BINDING CORRECTIONS | LAMB-SHIFT | DEUTERIUM | Physics - Atomic Physics | CORRECTIONS | G STATES | DISTURBANCES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ELECTRONS | S STATES | ATOMIC AND MOLECULAR PHYSICS | IONS | QUANTUM ELECTRODYNAMICS | ACCURACY | RELATIVISTIC RANGE | HYDROGEN | SPECTROSCOPY | EXPANSION | PERTURBATION THEORY | COULOMB ENERGY | SELF-ENERGY

RYDBERG CONSTANT | FREQUENCY-MEASUREMENT | BETHE LOGARITHMS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | NUMERICAL VALUE | VALUES | RADIATIVE LEVEL SHIFTS | TRANSITIONS | OPTICS | ORDER BINDING CORRECTIONS | LAMB-SHIFT | DEUTERIUM | Physics - Atomic Physics | CORRECTIONS | G STATES | DISTURBANCES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ELECTRONS | S STATES | ATOMIC AND MOLECULAR PHYSICS | IONS | QUANTUM ELECTRODYNAMICS | ACCURACY | RELATIVISTIC RANGE | HYDROGEN | SPECTROSCOPY | EXPANSION | PERTURBATION THEORY | COULOMB ENERGY | SELF-ENERGY

Journal Article

Journal of physical and chemical reference data, ISSN 1529-7845, 2015, Volume 44, Issue 3, p. 033103

Theoretical energy levels of the n = 1 and n = 2 states of hydrogen-like atoms with the nuclear charge numbers 1 = Z = 110 are tabulated. The tabulation is...

Quantum electrodynamics effects | Lamb shift | Self-energy | Hydrogen-like atoms | Vacuum-polarization | quantum electrodynamics effects | ELECTRON SELF-ENERGY | STRONG COULOMB FIELD | PHYSICS, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | NUCLEAR RECOIL CORRECTIONS | QUANTUM ELECTRODYNAMICS | MULTICHARGED IONS | TIGHTLY BOUND ELECTRON | CHEMISTRY, MULTIDISCIPLINARY | QED CORRECTIONS | VACUUM-POLARIZATION CONTRIBUTION | HEAVY-ATOMS | self-energy | LITHIUM-LIKE ATOMS | hydrogen-like atoms | vacuum-polarization | ATOMIC NUMBER | HYDROGEN | ERRORS | FINE STRUCTURE | SOMMERFELD CONSTANT | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ATOMS | ENERGY LEVELS | LAMB SHIFT

Quantum electrodynamics effects | Lamb shift | Self-energy | Hydrogen-like atoms | Vacuum-polarization | quantum electrodynamics effects | ELECTRON SELF-ENERGY | STRONG COULOMB FIELD | PHYSICS, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | NUCLEAR RECOIL CORRECTIONS | QUANTUM ELECTRODYNAMICS | MULTICHARGED IONS | TIGHTLY BOUND ELECTRON | CHEMISTRY, MULTIDISCIPLINARY | QED CORRECTIONS | VACUUM-POLARIZATION CONTRIBUTION | HEAVY-ATOMS | self-energy | LITHIUM-LIKE ATOMS | hydrogen-like atoms | vacuum-polarization | ATOMIC NUMBER | HYDROGEN | ERRORS | FINE STRUCTURE | SOMMERFELD CONSTANT | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ATOMS | ENERGY LEVELS | LAMB SHIFT

Journal Article

Physical review. D, Particles, fields, gravitation, and cosmology, ISSN 1550-2368, 2011, Volume 84, Issue 12

.... In this work we extend a previous result which gave finite electromagnetic potentials and self-energies for a source looking pointlike to an observer sitting in a 4D Minkowski subspace of a single...

DIMENSIONS | PHOTON | COULOMBS LAW | STABILITY | ASTRONOMY & ASTROPHYSICS | MASS | COMPACTIFICATIONS | QUANTUM-THEORY | HIERARCHY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

DIMENSIONS | PHOTON | COULOMBS LAW | STABILITY | ASTRONOMY & ASTROPHYSICS | MASS | COMPACTIFICATIONS | QUANTUM-THEORY | HIERARCHY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

Journal Article

Physical Review Letters, ISSN 0031-9007, 1999, Volume 82, Issue 12, pp. 2312 - 2315

A calculation of the loop after loop irreducible contribution of the second-order electron self-energy for hydrogenlike ions with nuclear charge numbers 3 less than or equal to Z less than or equal to 92 is presented...

STRONG COULOMB FIELD | PHYSICS, MULTIDISCIPLINARY | TIGHTLY BOUND ELECTRONS | LAMB SHIFT | RENORMALIZATION

STRONG COULOMB FIELD | PHYSICS, MULTIDISCIPLINARY | TIGHTLY BOUND ELECTRONS | LAMB SHIFT | RENORMALIZATION

Journal Article

Physical review letters, ISSN 1079-7114, 1996, Volume 76, Issue 9, pp. 1433 - 1436

.... We present a complete calculation of the one-loop self-energy correction to the first-order hyperfine interaction for various nuclear charges...

PHYSICS

PHYSICS

Journal Article

Physical Review Letters, ISSN 0031-9007, 12/2016, Volume 117, Issue 25, p. 253001

The quantum electrodynamics (QED) corrections are directly incorporated into the most accurate treatment of the correlation corrections for ions with complex...

BODY PERTURBATION-THEORY | VACUUM-POLARIZATION | STRONG COULOMB FIELD | CONFIGURATION-INTERACTION | PHYSICS, MULTIDISCIPLINARY | ATOMS | POTENTIALS | LI-LIKE IONS | SELF-ENERGY | LAMB-SHIFT | Metrology | Electronic structure | Correlation | Heavy ions | Mathematical analysis | Quantum electrodynamics

BODY PERTURBATION-THEORY | VACUUM-POLARIZATION | STRONG COULOMB FIELD | CONFIGURATION-INTERACTION | PHYSICS, MULTIDISCIPLINARY | ATOMS | POTENTIALS | LI-LIKE IONS | SELF-ENERGY | LAMB-SHIFT | Metrology | Electronic structure | Correlation | Heavy ions | Mathematical analysis | Quantum electrodynamics

Journal Article

Physica B: Physics of Condensed Matter, ISSN 0921-4526, 07/2012, Volume 407, Issue 14, pp. 2803 - 2807

We calculate exactly the Coulomb self-energy of a uniformly charged three-dimensional cylinder...

Jellium model | Quantum Hall effects | Coulomb self-energy | MONTE-CARLO | PHYSICS, CONDENSED MATTER | CLUSTERS | ELECTRONS | DNA | TRIAL WAVE-FUNCTIONS | SYSTEMS | Charging | Coulomb friction | Mathematical analysis | Mathematical models | Charged particles | Two dimensional | Cylinders | Three dimensional

Jellium model | Quantum Hall effects | Coulomb self-energy | MONTE-CARLO | PHYSICS, CONDENSED MATTER | CLUSTERS | ELECTRONS | DNA | TRIAL WAVE-FUNCTIONS | SYSTEMS | Charging | Coulomb friction | Mathematical analysis | Mathematical models | Charged particles | Two dimensional | Cylinders | Three dimensional

Journal Article

The Journal of chemical physics, ISSN 1089-7690, 2018, Volume 148, Issue 13, p. 134101

.... The leading QED corrections, self-energy and vacuum polarization, to the orbital energy for selected atoms with 30 ≤ Z...

VACUUM-POLARIZATION | SUPERHEAVY ELEMENTS | STRONG COULOMB FIELD | FINE-STRUCTURE | IONIZATION-POTENTIALS | MULTICONFIGURATION DIRAC-FOCK | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | LAMB-SHIFT OPERATOR | SELF-ENERGY | 2 ELECTRONS | FUNDAMENTAL CONSTANTS

VACUUM-POLARIZATION | SUPERHEAVY ELEMENTS | STRONG COULOMB FIELD | FINE-STRUCTURE | IONIZATION-POTENTIALS | MULTICONFIGURATION DIRAC-FOCK | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | LAMB-SHIFT OPERATOR | SELF-ENERGY | 2 ELECTRONS | FUNDAMENTAL CONSTANTS

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 01/2015, Volume 142, Issue 3, p. 034107

In exact density functional theory, the total ground-state energy is a series of linear segments between integer electron points, a condition known as...

COULOMB | EIGENVALUES | EXCHANGE-CORRELATION POTENTIALS | ORBITAL ENERGIES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CRYSTALS | BAND-GAPS | DERIVATIVE DISCONTINUITIES | SELF-ENERGY | Series (mathematics) | Boundary conditions | Alkanes | Criteria | Solid state | Electronic structure | Ionization | Linearity | Predictions | Dependence | Diagnostic software | Density functional theory | Diagnostic systems | Eigenvectors | Charge transfer | Deviation | Curvature

COULOMB | EIGENVALUES | EXCHANGE-CORRELATION POTENTIALS | ORBITAL ENERGIES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CRYSTALS | BAND-GAPS | DERIVATIVE DISCONTINUITIES | SELF-ENERGY | Series (mathematics) | Boundary conditions | Alkanes | Criteria | Solid state | Electronic structure | Ionization | Linearity | Predictions | Dependence | Diagnostic software | Density functional theory | Diagnostic systems | Eigenvectors | Charge transfer | Deviation | Curvature

Journal Article

Results in Physics, ISSN 2211-3797, 12/2019, Volume 15, p. 102684

•Electrostatic interaction energy of two coaxial parallel uniformly charged disks.•Exact analytic expression in terms of complete elliptic integrals of the...

MONTE-CARLO | DENSITY | SQUARE | PHYSICS, MULTIDISCIPLINARY | COULOMB SELF-ENERGY | MATERIALS SCIENCE, MULTIDISCIPLINARY | PLATE CAPACITOR | TRIAL WAVE-FUNCTIONS

MONTE-CARLO | DENSITY | SQUARE | PHYSICS, MULTIDISCIPLINARY | COULOMB SELF-ENERGY | MATERIALS SCIENCE, MULTIDISCIPLINARY | PLATE CAPACITOR | TRIAL WAVE-FUNCTIONS

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 11/2005, Volume 72, Issue 5

We derive an approximate expression for a "radiative potential" which can be used to calculate QED strong Coulomb field radiative corrections to energies and...

STANDARD MODEL | PERTURBATION-THEORY | STRONG COULOMB FIELD | CESIUM ATOM | 6S-7S TRANSITION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | TRANSITION ENERGIES | HYPERFINE-STRUCTURE | HIGH-ACCURACY CALCULATION | OPTICS | PARITY NONCONSERVATION | SELF-ENERGY

STANDARD MODEL | PERTURBATION-THEORY | STRONG COULOMB FIELD | CESIUM ATOM | 6S-7S TRANSITION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | TRANSITION ENERGIES | HYPERFINE-STRUCTURE | HIGH-ACCURACY CALCULATION | OPTICS | PARITY NONCONSERVATION | SELF-ENERGY

Journal Article

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