Bookcover of The Dirac operator
Booktitle:

The Dirac operator

Self-adjoint extensions and Strichartz estimates

LAP LAMBERT Academic Publishing (2013-08-08 )

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ISBN-13:

978-3-659-43593-5

ISBN-10:
3659435937
EAN:
9783659435935
Book language:
English
Blurb/Shorttext:
The Dirac equation was formulated by Paul Dirac in 1929, and ever since then it has played an important role in several areas of physics and mathematics and has plenty of applications in quantum mechanics. The equation describes the relativistic spin-1/2 particles, such as, electrons or positrons, which move in different electric and magnetic fields. In this book, some topics concerning the Dirac equation are studied. Since the self-adjointness of operators is a fundamental information in quantum mechanics, several self-adjoint extensions of the Dirac operator coupled to electromagnetic potentials are constructed by means of Hardy-type estimates. On the other hand, the Dirac equation can be seen as a dispersive model, therefore, some Strichartz estimates are studied, and in particular, counterexamples for Strichartz estimates for the solution of the Dirac equation are constructed. This book, which is the publication of the author's PhD dissertation, is suitable for graduate students and researchers in mathematics interested in the Dirac equation.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Naiara Arrizabalaga
Number of pages:
124
Published on:
2013-08-08
Stock:
Available
Category:
Mathematics
Price:
54.90 €
Keywords:
The Dirac operator, self-adjoint operators, Hardy type estimates, dispersion and Strichartz estimates

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