Search results for "Real point"

showing 2 items of 2 documents

Holographic interferometer with tunable radial and lateral displacement

1990

The hologram of a point source, together with the real point source, is used to implement a simple holographic interferometer that can be tuned in its radial and/or lateral displacements. We show that our device is easy to use for creating cosinusoidal gratings and zone plates and for optical testing.

PhysicsReal pointPoint sourcebusiness.industryMaterials Science (miscellaneous)HolographyPhysics::OpticsHolographic interferometerInterference (wave propagation)Holographic interferometryIndustrial and Manufacturing Engineeringlaw.inventionInterferometryOpticslawBusiness and International ManagementbusinessBeam splitterApplied Optics
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Hamiltonians defined by biorthogonal sets

2017

In some recent papers, the studies on biorthogonal Riesz bases has found a renewed motivation because of their connection with pseudo-hermitian Quantum Mechanics, which deals with physical systems described by Hamiltonians which are not self-adjoint but still may have real point spectra. Also, their eigenvectors may form Riesz, not necessarily orthonormal, bases for the Hilbert space in which the model is defined. Those Riesz bases allow a decomposition of the Hamiltonian, as already discussed is some previous papers. However, in many physical models, one has to deal not with o.n. bases or with Riesz bases, but just with biorthogonal sets. Here, we consider the more general concept of $\mat…

Statistics and ProbabilityPure mathematicsReal pointbiorthogonal setquasi-basesMathematics::Classical Analysis and ODEsPhysical systemFOS: Physical sciencesGeneral Physics and Astronomy01 natural sciencessymbols.namesake0103 physical sciencesOrthonormal basis0101 mathematics010306 general physicsMathematical PhysicsEigenvalues and eigenvectorsMathematicsQuantum PhysicsMathematics::Functional Analysis010102 general mathematicsHilbert spaceStatistical and Nonlinear PhysicsMathematical Physics (math-ph)pseudo-Hermitian HamiltonianModeling and SimulationBiorthogonal systemsymbolsQuantum Physics (quant-ph)Hamiltonian (quantum mechanics)
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