Hermitescher Operator – Wikipedia
WEBHermitesche Operatoren, benannt nach Charles Hermite, sind in der Mathematik betrachtete Operatoren, die eine zentrale Rolle in der mathematischen Struktur der Quantenmechanik spielen.
Hermitian matrix - Wikipedia
WEBIn mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose —that is, the element in the i -th row and j -th column is equal to the complex conjugate of the element in the j -th row and i -th column, for all indices i and j : or in matrix form:
Hermitian adjoint - Wikipedia
WEBHermitian operators. Adjoints of conjugate-linear operators. Other adjoints. See also. References. Hermitian adjoint. In mathematics, specifically in operator theory, each linear operator on an inner product space defines a Hermitian adjoint (or adjoint) operator on that space according to the rule. where is the inner product on the vector space .
Hermitesche Matrix – Wikipedia
WEBEine hermitesche Matrix ist in der Mathematik eine komplexe quadratische Matrix, die gleich ihrer adjungierten Matrix ist. Die Einträge einer hermiteschen Matrix oberhalb der Hauptdiagonale ergeben sich demnach durch Spiegelung der Einträge unterhalb der Diagonale und nachfolgender komplexer Konjugation; die Einträge auf der …
Self-adjoint operator - Wikipedia
WEBIn practical terms, having an essentially self-adjoint operator is almost as good as having a self-adjoint operator, since we merely need to take the closure to obtain a self-adjoint operator. In physics, the term Hermitian refers to symmetric as well as self-adjoint operators alike.
hermitescher Operator - Lexikon der Physik - Spektrum.de
WEBLexikon der Physik hermitescher Operator. hermitescher Operator, selbstadjungierter Operator, ein Operator in einem Hilbertraum H, der mit seinem adjungierten Operator identisch ist. Ein Operator in H ist eine lineare Abbildung A: D. H eines Unterraums D von H in H, sie heißt symmetrisch, wenn gilt:
8.6.1: Hermitian Operators - Chemistry LibreTexts
WEBHermitian Operators. Since the eigenvalues of a quantum mechanical operator correspond to measurable quantities, the eigenvalues must be real, and consequently a quantum mechanical operator must be Hermitian.
Hermitian operator - Encyclopedia of Mathematics
WEB26 apr. 2016 · Hermitian operator. See also: symmetric operator. A linear operator $A$ on a Hilbert space $H$ with a dense domain of definition $D (A)$ and such that $\langle Ax,y\rangle = \langle x,Ay\rangle$ for any $x,y\in D (A)$.
1.3: Hermitian and Unitary Operators - Physics LibreTexts
WEB1.3: Hermitian and Unitary Operators. A = A. An operator is Hermitian if and only if it has real eigenvalues: A = A ⇔ a ∈ R.
Hermitian Operator -- from Wolfram MathWorld
WEB24 mei 2024 · Hermitian Operator. A second-order linear Hermitian operator is an operator that satisfies. (1) where denotes a complex conjugate. As shown in Sturm-Liouville theory, if is self-adjoint and satisfies the boundary conditions. (2) then it …