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Self-adjoint Operator
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High Quality Content by WIKIPEDIA articles! In mathematics, on a finite-dimensional inner product space, a self-adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose. By the finite-dimensional spectral theorem such operators have an orthonormal basis in which the operator can be represented as a diagonal matrix with entries in the real numbers. In this article, we consider generalizations of this concept to operators on Hilbert spaces of arbitrary dimension. Self-adjoint operators are used in functional analysis and quantum mechanics. In quantum mechanics their importance lies in the fact that in the Dirac-von Neumann formulation of quantum mechanics, physical observables such as position, momentum, angular momentum and spin are represented by self-adjoint operators on a Hilbert space.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130320096
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B150mm x T10mm
- Jahr 2010
- EAN 9786130320096
- Format Kartonierter Einband
- ISBN 978-613-0-32009-6
- Titel Self-adjoint Operator
- Untertitel Self-adjoint Operator, Mathematics, Inner Product Space, Hermitian Adjoint, Matrix Mathematics, Hermitian Matrix, Conjugate Transpose, Spectral Theorem
- Gewicht 255g
- Herausgeber Betascript Publishers
- Anzahl Seiten 160
- Genre Mathematik
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