Linear algebra and the fundaments of quantum theory
Fundamental quantum theory formulations using axioms of linear algebra
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Fundamental quantum theory formulations using axioms of linear algebra
Quantum theory of thermogalvanomagnetic phenomena in metals and semiconductors
The collective interactions of nanoparticles arranged in periodic structures give rise to high‐ in‐plane diffractive modes known as surface lattice resonances. Although these resonances and their broader implications have been extensively studied within the framework of classical electrodynamics and linear response theory, a quantum optical theory capable of describing the dynamics of these structures, especially in the presence of material nonlinearities beyond ad hoc few‐mode approximations, is largely missing. To this end, we consider a lattice of metallic nanoparticles coupled to the electromagnetic field and derive the quantum input–output relations within the electric dipole approximation. As applications, we analyze coupling between the nanoparticle array and external quantum emitters, and show how the formalism extends to molecular optomechanics, where the high ‐factors of SLRs enable coupling to collective vibrational modes. We further consider arrays composed of saturable excitonic emitters, demonstrating how emitter nonlinearities can be used to switch the SLR condition between electronic transitions. Using a perturbative approach that accounts for population dynamics, we show how these effects can be probed in pump–probe experiments and give rise to nonlinear phase‐matching phenomena. Our work provides a microscopic framework for modeling SLRs interacting with quantum emitters without phenomenological descriptions of the electromagnetic environment.
Quantum theory of laser having only single-mode oscillation and ignoring atomic motion and spatial variations in cavity mode
Quantum theory of laser having only single-mode oscillation and ignoring atomic motion and spatial variations in cavity mode
We show that an alternative quantum theory proposed by Stapp directly violates Einstein casuality.
Quantum theory of thermogalvanomagnetic phenomena in metals and semiconductors - heat density and electric currents
Review article on connections between Koopman/transfer operator methods and quantum theory
Quantum theory of thermogalvanomagnetic phenomena in metals and semiconductors - heat flux and space density
A quantum theory of laser-stimulated desorption (LSDE) is presented and critically analyzed. It is shown how LSDE depends on laser-pulse characteristics and surface-lattice dynamics. Predictions of the theory for a Debye model of the lattice dynamics are compared to recent experimental results.
Quantum theory of optical maser, calculating laser radiation spectrum from two time correlation function derived from equations of motion
Quantum theory of density corrections to gaseous transport coefficients
Time dependent phenomena in nonrelativistic quantum theory treated by evolution operator technique
Quantum theory of molecular or atomic spontaneous emission while simultaneously undergoing stimulated emissions or absorptions
Symmetrical formulation of quantum theory of three wave optical parametric interactions in crystals
Quantum theory of an electron gas with anomalous magnetic moments in intense magnetic fields
Quantum theory of electron gas with anomalous magnetic moments in intense magnetic fields, noting pair creation from thermodynamic energy in system
It is shown that in Dirac's version of the quantum theory of gravitation, the Hamiltonian constraints are greatly redundant. If the Hamiltonian constraint condition is satisfied at one point on the underlying, closed three-dimensional manifold, then it is automatically satisfied at every point, provided only that the momentum constraints are everywhere satisfied. This permits one to replace the usual infinity of Hamiltonian constraints by a single condition which may be taken in the form of an integral over the manifold. Analogous theorems are given for the classical Einstein Hamilton-Jacobi equations.