|
Normal (295 words) |
 | In behavior etc.: normal means not deviating very much from the average; 'not normal' is often used in a negative sense (improper, sick, etc.). |
| In algebra (in particular, group theory): a normal subgroup is a subgroup that is invariant under conjugation. |
| In functional analysis: a normal operator is a linear operator on a Hilbert space that commutes with its adjoint. |
| SPECTRAL DERIVATIVES (2138 words) |
| The structure of time t in QM is one of a universal Newtonian variable that is algebraically "central", i.e., considered as a legitimate operator, which it is not, it commutes with all operators, and can therefore be said conceptually to be in the center of the algebra of observables. |
| Accommodating the structure of the Heisenberg picture where the operators are time dependent and not the Hilbert space vectors means that one should also be able to extend the notion of spectral derivative to express the spectral derivative of an operator with respect to another operator. |
| The operator A is then always diagonalizable by a similarity transformation and has, in general, complex eigenvalues and orthogonal eigenvectors which can be normalized in the usual way [Kato 1966], p. |
Feeds |
Contact