Results 101 to 110 of about 336 (142)
Some of the next articles are maybe not open access.
1990
The principal object of classical dynamics is to find where everything is at time t; that is, to find a set of q n (t). The principal object of quantum mechanics is to find a wave function ψ(q, t). From this you cannot calculate where everything is in the sense of classical physics, but you can calculate all there is to know. Lagrangian and Hamiltonian
openaire +1 more source
The principal object of classical dynamics is to find where everything is at time t; that is, to find a set of q n (t). The principal object of quantum mechanics is to find a wave function ψ(q, t). From this you cannot calculate where everything is in the sense of classical physics, but you can calculate all there is to know. Lagrangian and Hamiltonian
openaire +1 more source
2018
Abstract This chapter focuses on Liouville’s theorem and classical statistical mechanics, deriving the classical propagator. The terms ‘phase space volume element’ and ‘Liouville operator’ are defined and an n-particle phase space probability density function is constructed to derive the Liouville equation. This is deconstructed into the
openaire +1 more source
Abstract This chapter focuses on Liouville’s theorem and classical statistical mechanics, deriving the classical propagator. The terms ‘phase space volume element’ and ‘Liouville operator’ are defined and an n-particle phase space probability density function is constructed to derive the Liouville equation. This is deconstructed into the
openaire +1 more source
Path Concepts in Hamilton-Jacobi Theory
American Journal of Physics, 1952It is pointed out that the classical analog to a wave function is not a single orbit but a set of paths as defined by the solution of the Hamilton-Jacobi equation. A review is given of Hamilton-Jacobi theory in language appropriate to these path concepts. It is shown that there is a classical analog to a wave packet.
openaire +2 more sources
1999
Die Uberlegungen des letzten Abschnitts zu den kanonischen Transformationen lassen eine solche Mannigfaltigkeit an Transformationsmoglichkeiten erkennen, dass sich daraus eigentlich auch ergiebige allgemeine Losungsverfahren fur mechanische Probleme konstruieren lassen sollten.
openaire +1 more source
Die Uberlegungen des letzten Abschnitts zu den kanonischen Transformationen lassen eine solche Mannigfaltigkeit an Transformationsmoglichkeiten erkennen, dass sich daraus eigentlich auch ergiebige allgemeine Losungsverfahren fur mechanische Probleme konstruieren lassen sollten.
openaire +1 more source
Hamilton–Jacobi theory for gauge field theories
Journal of Geometry and Physics, 2020Manuel De Leon, Marcin Zajac
exaly
Higher-order Hamilton dynamics and Hamilton–Jacobi divergence PDE
Computers and Mathematics With Applications, 2018Savin Treanţă
exaly
Comparison results for hamilton-jacobi equations without grwoth condition on solutions from above
Applicable Analysis, 1997Hitoshi Ishii
exaly