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Determining Spectra in Quantum Theory

Michael Demuth and M. Krishna
Publisher: 
Birkhäuser
Publication Date: 
2005
Number of Pages: 
219
Format: 
Hardcover
Series: 
Progress in Mathematical Physics 44
Price: 
119.00
ISBN: 
0-8176-4366-4
Category: 
Monograph
We do not plan to review this book.

 

Preface

* Measures and Transforms

> Measures

> Fourier Transform

> The Wavelet Transform

> Borel Transform

> Gesztesy–Krein–Simon 'E' Function

> Notes

* Selfadjointness and Spectrum

> Selfadjointness

> Spectrum and Resolvent Sets

> Spectral Theorem

> Spectrol Measures and Spectrum

> Spectral Theorem in the Hahn–Hellinger Form

> Components of the Spectrum

> Characterization of the States in Spectral Subspaces

> Notes

* Criteria for Identifying the Spectrum

> Borel Transform

> Fourier Transform

> Wavelet Transform

> Eigenfunctions

> Commutators

> Criteria Using Scattering Theory

> Notes

* Operators of Interest

> Unperturbed Operators

> Perturbed Operators

> Notes

* Applications

> Borel Transforms

> Scattering

> Notes

* References

* Index

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