Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective mathematics which is
adjoint to itself
Etymologies
Sorry, no etymologies found.
Support
Help support Wordnik (and make this page ad-free) by adopting the word self-adjoint.
Examples
-
Each bounded simple random variable f gives rise to a bounded self-adjoint operator A =
Puppet X: 1 2009
-
It is not difficult to show that a self-adjoint operator P with spectrum contained in the two-point set {0,1} must be a projection; i.e.,
Puppet X: 1 2009
-
There remains to recover, e.g., the representation of “observables” by self-adjoint operators, and the dynamics (unitary evolution).
Puppet X: 1 2009
-
Studying the properties off these observations one sees that they satisfy the necessary axioms to be linear operators, and, in fact, self-adjoint operators.
Everything You Ever Wanted to Know About Quantum Mechanics, But Were Afraid to Ask Sean 2008
-
Pauli pointed out that a (self-adjoint) time operator is incompatible with a Hamiltonian spectrum bounded below.
-
The observable quantities are represented by self-adjoint operators B on the Hilbert space.
Collapse Theories Ghirardi, Giancarlo 2007
-
This amounts to rejecting that for every self-adjoint operator, there is a well-defined observable.
The Kochen-Specker Theorem Held, Carsten 2006
-
If we further assume that to every self-adjoint operator there corresponds a QM observable, then the principle can be formulated thus:
The Kochen-Specker Theorem Held, Carsten 2006
-
The principle trades on the mathematical fact that for a self-adjoint operator A operating on a Hilbert space, and an arbitrary function f:
The Kochen-Specker Theorem Held, Carsten 2006
-
If the non-intrinsic, state-dependent properties are identified with all the monadic or relational properties which can be expressed in terms of physical magnitudes associated with self-adjoint operators that can be defined for the particles, then it can be shown that two bosons or two fermions in a joint symmetric or anti-symmetric state respectively have the same monadic properties and the same relational properties one to another (French and Redhead 1988; see also Butterfield 1993).
Identity and Individuality in Quantum Theory French, Steven 2006
Comments
Log in or sign up to get involved in the conversation. It's quick and easy.