کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1866985 | 1530603 | 2012 | 6 صفحه PDF | دانلود رایگان |

This Letter presents a new approach to phase space trajectories in quantum mechanics. A Moyal description of quantum theory is used, where observables and states are treated as classical functions on a classical phase space. A quantum trajectory being an appropriate solution to quantum Hamiltonian equations is also a function defined on a classical phase space. It results in a deformation of a classical action of a flow on observables and states to an appropriate quantum action. It also leads to a new multiplication rule for any quantum trajectory treated as a one-parameter group of diffeomorphisms. Moreover, several examples are given, presenting the developed formalism for particular quantum systems.
► A new approach to phase space trajectories in quantum mechanics is presented.
► The theory is developed using the phase space description of quantum mechanics.
► A trajectory is defined as a map acting on a classical phase space.
► A deformation of a classical action of trajectories on observables and states is introduced.
► The formalism is demonstrated on several quantum systems.
Journal: Physics Letters A - Volume 376, Issues 47–48, 1 November 2012, Pages 3593–3598