Journal ArticleDOI
Gauge invariant formulation of molecular electrodynamics and the multipolar Hamiltonian
Vladimir Chernyak,Shaul Mukamel +1 more
- Vol. 198, Iss: 1, pp 133-143
TLDR
In this article, it was shown that both the minimal coupling and the multipolar Hamiltonians are two forms of the same Hamiltonian corresponding to two choices of gauge: div A = 0 and r · A( r ) = 0 respectively.Abstract:
The multipolar Hamiltonian has many advantages for describing the electrodynamics of nonrelativistic material systems. Usually it is derived by performing a canonical transformation on the minimal coupling Hamiltonian. We show that both the minimal coupling and the multipolar Hamiltonians are two forms of the same Hamiltonian corresponding to two choices of gauge: div A = 0 and r · A( r ) = 0 respectively. We further discuss the use of the multipolar Hamiltonian in electronically extended systems.read more
Citations
More filters
The quantum theory of light.
TL;DR: In this article, the Planck's radiation law and the Einstein coefficients were used to describe the atom-radiation interaction and the quantum mechanics of optical fluctuations and coherence, respectively.
Journal ArticleDOI
From Lorenz to Coulomb and other explicit gauge transformations
TL;DR: In this article, the authors illustrate explicitly the gauge functions χ(x,t) whose spatial and temporal derivatives transform one set of electromagnetic potentials into another equivalent set, and show that the electric and magnetic fields are always the same and display the experimentally verified properties of causality and propagation at the speed of light.
Journal ArticleDOI
Perspective: Quantum Hamiltonians for optical interactions
TL;DR: Claims of non-physicality are refuted: the PZW transformation and ensuing Hamiltonian are shown to rest on solid physical principles and secure theoretical ground.
Journal ArticleDOI
Finite Maxwell field and electric displacement Hamiltonians derived from a current dependent Lagrangian
TL;DR: In the common Ewald summation technique for the evaluation of electrostatic forces, the average electric field E is strictly zero as discussed by the authors, which can be accounted for by adding it as a ne...
Journal ArticleDOI
Perspective: Quantum Hamiltonians for Optical Interactions
TL;DR: In this article, an in-depth analysis of theoretical foundations of the PZW Hamiltonian has been presented, and its theoretical foundations are shown to rest on solid physical principles and secure theoretical ground.
References
More filters
Book
Quantum Theory of the Optical and Electronic Properties of Semiconductors
Hartmut Haug,Stephan W. Koch +1 more
TL;DR: In this article, a revised second edition on the "Quantum Theory of the Optical and Electronic Properties of Semiconductors" presents the basic elements needed to understand and engage in research in semiconductor physics.
Atom-photon interactions
TL;DR: In this article, the physical phenomena resulting from the interactions between atoms and photons are discussed in a self-contained way and can be studied independently, and different theoretical approaches are discussed.
Book
The quantum theory of light
TL;DR: In this paper, the Planck's radiation law and the Einstein coefficients were used to describe the atom-radiation interaction and the quantum mechanics of optical fluctuations and coherence, respectively.
Related Papers (5)
Derivation of the Power-Zienau-Woolley Hamiltonian in Quantum Electrodynamics by Gauge Transformation
M. Babiker,Rodney Loudon +1 more
Coulomb Gauge in Non-Relativistic Quantum Electro-Dynamics and the Shape of Spectral Lines
Edwin Albert Power,S. Zienau +1 more