Bound states of the quasipotential equation for two spin-12particles in strongly coupled quantum electrodynamics

1975 ◽  
Vol 12 (6) ◽  
pp. 1804-1812 ◽  
Author(s):  
Horace W. Crater
Keyword(s):  
Quantum Electrodynamics ◽  
Bound States ◽  
Quasipotential Equation ◽  
Strongly Coupled

scholarly journals Dynamical Symmetries of the H Atom, One of the Most Important Tools of Modern Physics: SO(4) to SO(4,2), Background, Theory, and Use in Calculating Radiative Shifts

Symmetry ◽  
2020 ◽  
Vol 12 (8) ◽  
pp. 1323 ◽  
Author(s):  
G. Jordan Maclay
Keyword(s):  
Hydrogen Atom ◽  
Quantum Electrodynamics ◽  
Particle Physics ◽  
Bound States ◽  
Integrated Treatment ◽  
Invariance Group ◽  
Elementary Particle Physics ◽  
Background Theory ◽  
Modern Physics ◽  
History Of

Understanding the hydrogen atom has been at the heart of modern physics. Exploring the symmetry of the most fundamental two body system has led to advances in atomic physics, quantum mechanics, quantum electrodynamics, and elementary particle physics. In this pedagogic review, we present an integrated treatment of the symmetries of the Schrodinger hydrogen atom, including the classical atom, the SO(4) degeneracy group, the non-invariance group or spectrum generating group SO(4,1), and the expanded group SO(4,2). After giving a brief history of these discoveries, most of which took place from 1935–1975, we focus on the physics of the hydrogen atom, providing a background discussion of the symmetries, providing explicit expressions for all of the manifestly Hermitian generators in terms of position and momenta operators in a Cartesian space, explaining the action of the generators on the basis states, and giving a unified treatment of the bound and continuum states in terms of eigenfunctions that have the same quantum numbers as the ordinary bound states. We present some new results from SO(4,2) group theory that are useful in a practical application, the computation of the first order Lamb shift in the hydrogen atom. By using SO(4,2) methods, we are able to obtain a generating function for the radiative shift for all levels. Students, non-experts, and the new generation of scientists may find the clearer, integrated presentation of the symmetries of the hydrogen atom helpful and illuminating. Experts will find new perspectives, even some surprises.

scholarly journals Intrinsically ultrastrong plasmon–exciton interactions in crystallized films of carbon nanotubes

2018 ◽  
Vol 115 (50) ◽  
pp. 12662-12667 ◽  
Author(s):  
Po-Hsun Ho ◽  
Damon B. Farmer ◽  
George S. Tulevski ◽  
Shu-Jen Han ◽  
Douglas M. Bishop ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Quantum Electrodynamics ◽  
Near Infrared ◽  
Cavity Quantum Electrodynamics ◽  
Optical Switches ◽  
Optical Antennas ◽  
Strongly Coupled ◽  
Exciton Coupling ◽  
Exciton Interactions ◽  
Nanotube Films

In cavity quantum electrodynamics, optical emitters that are strongly coupled to cavities give rise to polaritons with characteristics of both the emitters and the cavity excitations. We show that carbon nanotubes can be crystallized into chip-scale, two-dimensionally ordered films and that this material enables intrinsically ultrastrong emitter–cavity interactions: Rather than interacting with external cavities, nanotube excitons couple to the near-infrared plasmon resonances of the nanotubes themselves. Our polycrystalline nanotube films have a hexagonal crystal structure, ∼25-nm domains, and a 1.74-nm lattice constant. With this extremely high nanotube density and nearly ideal plasmon–exciton spatial overlap, plasmon–exciton coupling strengths reach 0.5 eV, which is 75% of the bare exciton energy and a near record for room-temperature ultrastrong coupling. Crystallized nanotube films represent a milestone in nanomaterials assembly and provide a compelling foundation for high-ampacity conductors, low-power optical switches, and tunable optical antennas.

Baryon-baryon bound states in strongly coupled lattice QCD

2007 ◽  
Vol 75 (7) ◽  
Author(s):  
Paulo A. Faria da Veiga ◽  
Michael O’Carroll
Keyword(s):  
Lattice Qcd ◽  
Bound States ◽  
Strongly Coupled

High-Finesse Micro-Optical Fabry-Perot Cavity and Its Applications in Strongly Coupled Cavity Quantum Electrodynamics

2021 ◽  
Vol 41 (1) ◽  
pp. 0127001
Author(s):  
张天才 Zhang Tiancai ◽  
毋伟 Wu Wei ◽  
杨鹏飞 Yang Pengfei ◽  
李刚 Li Gang ◽  
张鹏飞 Zhang Pengfei
Keyword(s):  
Quantum Electrodynamics ◽  
Cavity Quantum Electrodynamics ◽  
Strongly Coupled ◽  
Fabry Perot ◽  
High Finesse ◽  
Coupled Cavity

scholarly journals Proximity effect in a two-dimensional electron gas coupled to a thin superconducting layer

2018 ◽  
Vol 9 ◽  
pp. 1263-1271 ◽  
Author(s):  
Christopher Reeg ◽  
Daniel Loss ◽  
Jelena Klinovaja
Keyword(s):  
Bound States ◽  
Topological Phase ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Electron Gases ◽  
Band Shift ◽  
Superconducting Layer ◽  
Strongly Coupled ◽  
Semiconducting Material ◽  
Dimensional Electron Gas

There have recently been several experiments studying induced superconductivity in semiconducting two-dimensional electron gases that are strongly coupled to thin superconducting layers, as well as probing possible topological phases supporting Majorana bound states in such setups. We show that a large band shift is induced in the semiconductor by the superconductor in this geometry, thus making it challenging to realize a topological phase. Additionally, we show that while increasing the thickness of the superconducting layer reduces the magnitude of the band shift, it also leads to a more significant renormalization of the semiconducting material parameters and does not reduce the challenge of tuning into a topological phase.

scholarly journals Weakly bound states of dtμ muonic molecular ion in quantum electrodynamics

2019 ◽  
Vol 1390 ◽  
pp. 012083 ◽  
Author(s):  
A V Eskin ◽  
V I Korobov ◽  
A P Martynenko ◽  
V V Sorokin
Keyword(s):  
Quantum Electrodynamics ◽  
Bound States ◽  
Weakly Bound ◽  
Molecular Ion

scholarly journals QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS

2004 ◽  
Vol 01 (02) ◽  
pp. 271-314 ◽  
Author(s):  
JEAN-MARIE BARBAROUX ◽  
MOUEZ DIMASSI ◽  
JEAN-CLAUDE GUILLOT
Keyword(s):  
Current Density ◽  
Coulomb Potential ◽  
Ground State ◽  
Quantum Electrodynamics ◽  
Bound States ◽  
Coupling Constants ◽  
Relativistic Electrons ◽  
Small Coupling ◽  
Electrons And Positrons ◽  
Relativistic Bound States

We consider a Hamiltonian with ultraviolet and infrared cutoffs, describing the interaction of relativistic electrons and positrons in the Coulomb potential with photons in Coulomb gauge. The interaction includes both interaction of the current density with transversal photons and the Coulomb interaction of charge density with itself. We prove that the Hamiltonian is self-adjoint and has a ground state for sufficiently small coupling constants.

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