Tag: Spectral

Spectral Geometry of Graphs (Operator Theory Advances and Applications, 293)


Free Download Spectral Geometry of Graphs (Operator Theory: Advances and Applications, 293) by Pavel Kurasov
English | November 9, 2023 | ISBN: 3662678705 | 655 pages | MOBI | 85 Mb
This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph.

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Practical Guide and Spectral Atlas for Interpretive Near-Infrared Spectroscopy, Second Edition


Free Download Practical Guide and Spectral Atlas for Interpretive Near-Infrared Spectroscopy, Second Edition By Jerry Workman Jr., Lois Weyer
2012 | 326 Pages | ISBN: 1439875251 | PDF | 61 MB
Interpretive spectroscopy provides a basis for the establishment of cause-and-effect relationships between NIR spectrometer response and the chemical properties of the samples. Without established cause-effect relationships, the measured data has no true predictive significance. This interpretive process is key for achieving an analytical understanding of the measurement. In the expanded second edition of Practical Guide and Spectral Atlas for Interpretive Near-Infrared Spectroscopy, the authors include new research, editorials, supplements, and molecular structural formulas, along with updated references and information on NIR spectra. The thoroughly updated and revised second edition offers a full library of color spectra in a larger format to ensure clarity and reader comprehension. Providing a rich set of reference information required to interpret NIR spectra for research and industrial applications, this book: Offers more than 300 figures representing all the major functional groups and their NIR frequency ranges Contains over 120 pages of tables and charts illustrating overlapping spectra Covers NIR spectra for organic compounds, including alkanes, carboxylic acids, amines, dienes, alkynes, heterocyclic compounds, amino acids, and aldehydes Provides comprehensive appendices with spectra-structure correlations, example spectra, and other useful data for interpreting NIR spectra

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Spectral Analysis of N-Body Schrödinger Operators at Two-Cluster Thresholds


Free Download Spectral Analysis of N-Body Schrödinger Operators at Two-Cluster Thresholds by Erik Skibsted , Xue Ping Wang
English | PDF EPUB (True) | 2024 | 262 Pages | ISBN : 9819726239 | 33.3 MB
This book provides a systematic study of spectral and scattering theory for many-body Schrödinger operators at two-cluster thresholds. While the two-body problem (reduced after separation of the centre of mass motion to a one-body problem at zero energy) is a well-studied subject, the literature on many-body threshold problems is sparse. However, the authors’ analysis covers for example the system of three particles interacting by Coulomb potentials and restricted to a small energy region to the right of a fixed nonzero two-body eigenvalue. In general, the authors address the question: How do scattering quantities for the many-body atomic and molecular models behave within the limit when the total energy approaches a fixed two-cluster threshold? This includes mapping properties and singularities of the limiting scattering matrix, asymptotics of the total scattering cross section, and absence of transmission from one channel to another in the small inter-cluster kinetic energy region. The authors’ principal tools are the Feshbach-Grushin dimension reduction method and spectral analysis based on a certain Mourre estimate. Additional topics of independent interest are the limiting absorption principle, micro-local resolvent estimates, Rellich- and Sommerfeld-type theorems and asymptotics of the limiting resolvents at thresholds. The mathematical physics field under study is very rich, and there are many open problems, several of them stated explicitly in the book for the interested reader.

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Progress in Inverse Spectral Geometry


Free Download Progress in Inverse Spectral Geometry by Stig I. Andersson, Michel L. Lapidus
English | PDF | 1997 | 202 Pages | ISBN : 376435755X | 26 MB
most polynomial growth on every half-space Re (z) ::::: c. Moreover, Op(t) depends holomorphically on t for Re t > O. General references for much of the material on the derivation of spectral functions, asymptotic expansions and analytic properties of spectral functions are [A-P-S] and [Sh], especially Chapter 2. To study the spectral functions and their relation to the geometry and topology of X, one could, for example, take the natural associated parabolic problem as a starting point. That is, consider the ‘heat equation’: (%t + p) u(x, t) = 0 { u(x,O) = Uo(x), tP which is solved by means of the (heat) semi group V(t) = e- ; namely, u(·, t) = V(t)uoU· Assuming that V(t) is of trace class (which is guaranteed, for instance, if P has a positive principal symbol), it has a Schwartz kernel K E COO(X x X x Rt,E* ®E), locally given by 00 K(x,y; t) = L>-IAk(~k ® ‘Pk)(X,y), k=O for a complete set of orthonormal eigensections ‘Pk E COO(E). Taking the trace, we then obtain: 00 tA Op(t) = trace(V(t)) = 2::>- k. k=O Now, using, e. g. , the Dunford calculus formula (where C is a suitable curve around a(P)) as a starting point and the standard for malism of pseudodifferential operators, one easily derives asymptotic expansions for the spectral functions, in this case for Op.

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The Spectral Tide True Ghost Stories of the U.S. Navy


Free Download Eric Mills, "The Spectral Tide: True Ghost Stories of the U.S. Navy"
English | 2009 | pages: 184 | ISBN: 1591144957 | EPUB | 0,6 mb
Now, for the first time, comes a long-overdue book that presents all of the U.S. Navy’s rich cargo of paranormal phenomena. There is the great Stephen Decatur, whose mournful apparition still stalks the halls of his famous home, said to be one of the most haunted spots in Washington, D.C. USS The Sullivans, now a floating museum, is the source of much disturbing spectral activity-poltergeists opening locks, hurling objects, and turning on radar that’s no longer under electrical power. Then there are the repeated sightings of the handsome USS Lexington ghost, "polite . . . kind . . . smartly dressed in a summer white Navy uniform." From translucent sails to phantom crews, from a flaming ghost ship to the infamous psychic anomaly at the U.S. Naval Academy to battleships where the dead still linger, this book offers no less than a haunted history of the U.S. Navy.

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Spectral Dickens The uncanny forms of novelistic characterization


Free Download Alexander Bove III, "Spectral Dickens: The uncanny forms of novelistic characterization "
English | ISBN: 1526147939 | 2021 | 256 pages | PDF | 20 MB
Drawing on the recent ontological turn in critical theory, Spectral Dickens explores an aspect of literary character that is neither real nor fictional, but spectral. This work thus provides an in-depth study of the inimitable characters populating Dickens’ illustrated novels using three hauntological concepts: the Freudian uncanny, Derridean spectrality, and the Lacanian real. Thus, while the current discourse on character studies, which revolves around values like realism, depth, and lifelikeness, tends to see characters as mimetic of persons, this book invents new critical concepts to account for non-mimetic forms of characterization. These spectral forms bring to light the important influence of developments in nineteenth-century visual culture, such as the lithography and caricature of Daumier and J.J. Grandville. The spectrality of novelistic characters developed here paves the way for a new understanding of fictional characters in general.

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