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Classical-Like Trajectories of a Quantum Particle in a Cloud Chamber

Gianfausto Dell’Antonio, Rodolfo Figari, Alessandro Teta

Lecture notes in physicsJan 1, 20151 citation

Emergence of classical trajectories in quantum systems: the cloud chamber problem in the analysis of Mott (1929)

Rodolfo Figari, Alessandro Teta

arXiv:1209.2665Archive for History of Exact SciencesNov 6, 201217 citations

A one-dimensional model for ionization induced by scattering with a heavy particle

Rodolfo Figari, Alessandro Teta

The ionization probability for a one-dimensional model atom perturbed by a moving repulsive scatterer is considered. The moving scattering centre is meant to mimic a second quantum particle crossing the region where a much lighter particle is initially bound in the atom. We compute the first three terms (of order t 3/2 , t 2 , t 5/2 respectively) in the expansion for small times of the ionization probability and we deduce that the first term showing explicit dependence on the velocity of the scatterer is of order t 5/2 . A possible application of the model for the description of a quantum particle in a cloud chamber is also outlined.The ionization probability for a one-dimensional model atom perturbed by a moving repulsive scatterer is considered. The moving scattering centre is meant to mimic a second quantum particle crossing the region where a much lighter particle is initially bound in the atom. We compute the first three terms (of order t 3/2 , t 2 , t 5/2 respectively) in the expansion for small times of the ionization probability and we deduce that the first term showing explicit dependence on the velocity of the scatterer is of order t 5/2 . A possible application of the model for the description of a quantum particle in a cloud chamber is also outlined.

Journal of Physics A Mathematical and GeneralMay 18, 20050 citations

Quantum Dynamics of a Particle in a Tracking Chamber

Rodolfo Figari, Alessandro Teta

SpringerBriefs in physicsOct 22, 201320 citations

A Model of the Cloud Chamber in Generalized Coherent State Formalism

K. Kakazu

Particle trajectory in the Wilson cloud chamber is explained by means of the perturbation theory and generalized coherent states. The model consists of an incoming particle, molecules and detectors (the immediate environment of the molecules). The particle and the molecules are treated as typical quantum systems, while each detector has many harmonic oscillators whose state are totally described by generalized coherent states. If a molecule is ionized through interaction with a particle, the ionized excited state is stable, that is, the molecule does not return to the ground state. The stability of excited states of the molecule is a result of properties of the generalized coherent states of the detector interacting with the molecule.Particle trajectory in the Wilson cloud chamber is explained by means of the perturbation theory and generalized coherent states. The model consists of an incoming particle, molecules and detectors (the immediate environment of the molecules). The particle and the molecules are treated as typical quantum systems, while each detector has many harmonic oscillators whose state are totally described by generalized coherent states. If a molecule is ionized through interaction with a particle, the ionized excited state is stable, that is, the molecule does not return to the ground state. The stability of excited states of the molecule is a result of properties of the generalized coherent states of the detector interacting with the molecule.

Progress of Theoretical PhysicsAug 1, 19905 citations

A Model of a Quantum Particle in a Quantum Environment: A Numerical Study

Raffaele Carlone, Rodolfo Figari, Claudia Negulescu

We define and investigate, via numerical analysis, a one dimensional toy-model of a cloud chamber. An energetic quantum particle, whose initial state is a superposition of two identical wave packets with opposite average momentum, interacts during its evolution and exchanges (small amounts of) energy with an array of localized spins. Triggered by the interaction with the environment, the initial superposition state turns into an incoherent sum of two states describing the following situation: or the particle is going to the left and a large number of spins on the left side changed their states, or the same is happening on the right side. This evolution is reminiscent of what happens in a cloud chamber where a quantum particle, emitted as a spherical wave by a radioactive source, marks its passage inside a supersaturated vapour-chamber in the form of a sequence of small liquid bubbles arranging themselves around a possible classical trajectory of the particle.We define and investigate, via numerical analysis, a one dimensional toy-model of a cloud chamber. An energetic quantum particle, whose initial state is a superposition of two identical wave packets with opposite average momentum, interacts during its evolution and exchanges (small amounts of) energy with an array of localized spins. Triggered by the interaction with the environment, the initial superposition state turns into an incoherent sum of two states describing the following situation: or the particle is going to the left and a large number of spins on the left side changed their states, or the same is happening on the right side. This evolution is reminiscent of what happens in a cloud chamber where a quantum particle, emitted as a spherical wave by a radioactive source, marks its passage inside a supersaturated vapour-chamber in the form of a sequence of small liquid bubbles arranging themselves around a possible classical trajectory of the particle.

arXiv:1407.4250Communications in Computational PhysicsJan 1, 20157 citations

A Time-Dependent Perturbative Analysis for a Quantum Particle in a Cloud Chamber

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