Sentence examples for mechanical commutation from inspiring English sources

It provides the first example of a non-commutative stochastic calculus which does not depend on the quantum mechanical commutation or anticommutation relations, but it is based on the theory of reduced free products of C∗-algebras by D. Voiculescu.

The Poisson brackets are represented here as square brackets (not curly braces), both for consistency with the references and because they will be interpreted as quantum mechanical commutation relations in the next section and as Lie brackets in a following section.

However, the other invariant, C1, is non-trivial and depends only on m, k and E. Upon canonical quantization, this invariant allows the energy levels of hydrogen-like atoms to be derived using only quantum mechanical canonical commutation relations, instead of the conventional solution of the Schrödinger equation.

In standard truth-functional propositional logic, commutation, or commutativity refer to two valid rules of replacement.

Poisson brackets provide a simple guide for quantizing most classical systems: the commutation relation of two quantum mechanical operators is specified by the Poisson bracket of the corresponding classical variables, multiplied by.

The attention is focused on several interesting design aspects of the non-traditional actuator (linear synchronous permanent magnet motor with electronic commutation) controlled to obtain a variable mechanical force for a car damper.

To overcome the current commutation difficulty of hybrid direct current circuit breakers that consist of a mechanical and static DCCB branch, a current commutation drive circuit (CCDC) that has low cost, low operation losses and free maintenance is proposed [30].

Some strongly attacked the commutation.

A commutation lessens the severity of the punishment.

Late last month, he denied 552 commutation petitions and 60 pardon requests.

It was cracked and old and held his commutation book.