Add to ORKGWe investigate two methods of constructing a solution of the Schr\"{o}dinger equation from the canonical transformation in classical mechanics. One method shows that we can formulate the solution of the Schr\"{o}dinger equation from linear canonical transformations, the other focuses on the generating function which satisfies the Hamilton-Jacobi equation in classical mechanics. We also show that these two methods lead to the same solution of the Schr\"{o}dinger equation
$p$-Mechanics is a consistent physical theory which describes both classical and quantum mechanics s...
A formal calculus is developed which includes the Born and Jordan matrix dynamics, and also the rema...
We show that the classical Hamilton equations of motion can be derived from the energy conservation ...
A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics ...
A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics ...
A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics ...
International audienceThe Hamilton-Jacobi equation (HJE) is one of the most elegant approach to Lagr...
AbstractBy means of a theory of representations of canonical transformations we establish a connecti...
International audienceIt is well known that, by taking a limit of Schrödinger’s equation, we may rec...
We study how the classical Hamilton's principal and characteristic functions are generated from the ...
Using Hamilton formalism of classical mechanic we derive in a simple waythe equations of motions of...
Using Hamilton formalism of classical mechanic we derive in a simple waythe equations of motions of...
It is well known that, by taking a limit of Schrödinger’s equation, we may recover Hamilton-Jacobi’s...
We show that the quantum Hamilton-Jacobi equation can be written in the classical form with the spat...
Recently the authors showed that the postulated diffeomorphic equivalence of states implies quantum ...
$p$-Mechanics is a consistent physical theory which describes both classical and quantum mechanics s...
A formal calculus is developed which includes the Born and Jordan matrix dynamics, and also the rema...
We show that the classical Hamilton equations of motion can be derived from the energy conservation ...
A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics ...
A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics ...
A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics ...
International audienceThe Hamilton-Jacobi equation (HJE) is one of the most elegant approach to Lagr...
AbstractBy means of a theory of representations of canonical transformations we establish a connecti...
International audienceIt is well known that, by taking a limit of Schrödinger’s equation, we may rec...
We study how the classical Hamilton's principal and characteristic functions are generated from the ...
Using Hamilton formalism of classical mechanic we derive in a simple waythe equations of motions of...
Using Hamilton formalism of classical mechanic we derive in a simple waythe equations of motions of...
It is well known that, by taking a limit of Schrödinger’s equation, we may recover Hamilton-Jacobi’s...
We show that the quantum Hamilton-Jacobi equation can be written in the classical form with the spat...
Recently the authors showed that the postulated diffeomorphic equivalence of states implies quantum ...
$p$-Mechanics is a consistent physical theory which describes both classical and quantum mechanics s...
A formal calculus is developed which includes the Born and Jordan matrix dynamics, and also the rema...
We show that the classical Hamilton equations of motion can be derived from the energy conservation ...