hermitian operator उदाहरण वाक्य

उदाहरण वाक्य

1. If you like you can think of Hermitian operators like \ hat { P } as an odd way of specifying an orthogonal basis with a real number attached to each basis vector .-- talk ) 15 : 50, 9 March 2008 ( UTC)
2. From a geometric and algebraic point of view, the Stokes parameters stand in one-to-one correspondence with the closed, convex, 4-real-dimensional cone of nonnegative Hermitian operators on the Hilbert space "'C "'2.
3. Thus if a bounded functional " f " of the trace-class Banach space and " f " is positive on the product pure states, then " f ", or its identification as a Hermitian operator, is an entanglement witness.
4. Then, the same concept follows : any operator is the sum of a Hermitian operator and an anti-Hermitian one, so if time is some kind of disturbance in a Hermitian space, the CPT-symmetric laws will amplify, and the CPT-antisymmetric laws will cancel.
5. This mathematical machinery gives a simple, direct way to compute a statistical property of the outcome of an experiment, once it is understood how to associate the initial state with a Hilbert space vector, and the measured quantity with an observable ( that is, a specific Hermitian operator ).
6. All such nontrivial commutation relations for pairs of operators lead to corresponding Hermitian operators and, consider expectation values in a system in the state, the variances around the corresponding expectation values being ( " A "  " " A " ) 2 } }, etc.
7. Let be a Hamiltonian representing a weak physical disturbance, such as a potential energy produced by an external field . ( Thus, is formally a Hermitian operator . ) Let be a dimensionless parameter that can take on values ranging continuously from 0 ( no perturbation ) to 1 ( the full perturbation ).
8. In quantum mechanics each dynamical variable ( e . g . position, translational momentum, orbital angular momentum, spin, total angular momentum, energy, etc . ) is associated with a Hermitian operator that acts on the state of the quantum system and whose eigenvalues correspond to the possible values of the dynamical variable.
9. In linear algebra and functional analysis, the "'min-max theorem "', or "'variational theorem "', or "'Courant & ndash; Fischer & ndash; Weyl min-max principle "', is a result that gives a variational characterization of compact Hermitian operators on Hilbert spaces.