Sentence examples for mechanics and classical from inspiring English sources

The old quantum theory was an "interim" theory developed in response to the recognition that Newtonian mechanics and classical electrodynamics are inadequate for the description of atomic systems.

A similar situation arises in the asymptotic domain between quantum mechanics and classical mechanics where Planck's constant can be considered asymptotically small.

In this section, we state the main results and outline the proofs for Lie algebroid constructions in the second approach to geometrization of mechanics and classical field theory.

This concerns a further elaboration of algebroid multisymplectic models for noholonomic mechanics and classical field theories, sigma models, gravitational and string actions, and various type of topological theories.

For the problem with a small parameter ε > 0, it is called the semi-classical problem, which describes the transition between of quantum mechanics and classical mechanics with the parameter ε goes to zero.

It is well known that in this case the laws of quantum mechanics must reduce to those of classical mechanics, and it describes the transition between quantum mechanics and classical mechanics.

The stress response based on micro-polar theory is compared with those deduced from the micro-mechanics and classical elasticity theory.

A simplified modelling strategy based on the principles of damage mechanics, plasticity and classical Bernoulli beam theory is used to simulate the 2D non-linear behaviour of two mock-ups satisfying the above design provisions.

On the other hand, in the early 1930s it became clear that classical mechanics can be described in terms of Hilbert space (Koopman von Neumann classical mechanics) and that certain properties of classical dynamical systems can be analyzed using Hilbert space techniques in the framework of ergodic theory.

In opposition to Bohr's claim that quantum theory is a rational generalization of classical mechanics, Jammer interprets Bohr as viewing quantum and classical mechanics as irreconcilable, and hence interprets the correspondence principle as only a "formal analogy of heuristic value".

"The evolution [of the system] is consistent with quantum mechanics and not with classical mechanics," Johnson says.