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In physics, the energy spectrum of a particle is the number of particles or intensity of a particle beam as a function of particle energy. Examples of techniques that produce an energy spectrum are alpha-particle spectroscopy , electron energy loss spectroscopy , and mass-analyzed ion-kinetic-energy spectrometry .
Spectral geometry is a field in mathematics which concerns relationships between geometric structures of manifolds and spectra of canonically defined differential operators. The case of the Laplace–Beltrami operator on a closed Riemannian manifold has been most intensively studied, although other Laplace operators in differential geometry ...
The spectrum in a rainbow. A spectrum (pl.: spectra or spectrums) [1] is a condition that is not limited to a specific set of values but can vary, without gaps, across a continuum. The word spectrum was first used scientifically in optics to describe the rainbow of colors in visible light after passing through a prism.
Emission spectrum of a fluorescent light, exhibiting many spectral lines. Each line corresponds to an energy level in one of the elements inside the light. A spectral line can result from an electron transition in an atom, molecule or ion, which is associated with a specific amount of energy, E. When this energy is measured by means of some ...
With these definitions, the resolvent set of T is the set of all complex numbers ζ such that R ζ exists and is bounded. This set often is denoted as ρ(T). The spectrum of T is the set of all complex numbers ζ such that R ζ fails to exist or is unbounded. Often the spectrum of T is denoted by σ(T).
This glossary of physics is a list of definitions of terms and ... to as the "geometry of motion". ... within the electromagnetic spectrum. In physics, ...
In theoretical physics, quantum geometry is the set of mathematical concepts that generalize ... certain physical observables, such as the area, have a discrete spectrum.
The power spectrum is important in statistical signal processing and in the statistical study of stochastic processes, as well as in many other branches of physics and engineering. Typically the process is a function of time, but one can similarly discuss data in the spatial domain being decomposed in terms of spatial frequency .