Sentences with phrase «state vector»

This gives a single four - dimensional state vector for the radiative contributions from the forcing and feedbacks, given a particular forcing.

When two particles interact, they form a composite quantum system, described by a single state vector, even when one particle flies far away from the other.

As Weinberg points out, a given set of state vectors will tell you what the density matrix is.

Weinberg's title for the paper on his new interpretation is «Quantum mechanics without state vectors.»

As such, they exhibit wave - particle duality, displaying particle - like behavior under certain experimental conditions and wave - like behavior in others (more technically they are described by state vectors in a Hilbert space).

(The density matrix represents the information you possess about the relative likelihood of various possible state vectors describing the system you're going to measure.)

So Weinberg advocates doing away with all the fuss about state vectors and concentrating on density matrices instead.

(technical language) The earth system is sufficiently well - behaved and coupled that the set of all possible four - dimensional equilibrium state vectors forms a smooth, monotonic manifold.

This wave function can be expressed without recourse to any probabilistic notions (if we represent the state vector of the system in an arbitrary orthonormal basis).

Werner Heisenberg, one of the founders of quantum theory, explicitly made the connection between the probabilistic nature of quantum mechanics and Greek matter, in its role of potentia; he tried in this way to make sense of attributing a state vector to an individual quantum system.

It asserts that the state vector is not, in fact, the proper representation of reality.

«In speaking of «quantum mechanics without state vectors» I mean only that a statement that a system is in any one of various state vectors with various probabilities is to be regarded as having no meaning, except for what it tells us about the density matrix,» he writes.

«The susceptibility of the state vector to instantaneous change from a distance casts doubts on its physical significance,» Weinberg writes in his new paper.

But a given density matrix doesn't tell you what the state vectors are, because different sets of state vectors can give the same density matrix.

When the state vector is unknown, quantum calculations use a density matrix to compute the odds of different measurement outcomes.

Entanglement is even more mysterious, Weinberg suggests, because the state vector can change as a result of a measurement made very far away.

Hence some experts wonder whether the state vector is actually representative of reality at all.

(There is a technical distinction between wave function and state vector that will be ignored unless it really matters.)

The state vector tells the odds for outcomes of measurements on either of the two particles.

So the quantum mathematical expression used for computing the probabilities, called the wave function (or state vector), apparently just «collapses.»

This implies that the state vector is the same state vector no matter which dimension is serving as the forcing.