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Thermalization effects in heavy-ion collisions

Dao T. Khoa, Amand Faessler, Noboru Ohtsuka +1 more

Nuclear Physics AFeb 1, 19951 citation

Identities from the Lippmann-Schwinger equation and the Ehrenfest's theorem in scattering theory

I. Saavedra

Physics LettersNov 1, 19654 citations

Ehrenfest's Theorem and Scattering Theory

Bernard A. Lippmann

Physical Review LettersJul 5, 196547 citations

On quantum mechanical transport coefficients in nonequilibrium nuclear processes with application to heavy-ion collisions

Yamen Hamdouni

The elements of the quantum mechanical Markovian diffusion matrix leading to a Gibbs equilibrium state for a set of N coupled quantum harmonic oscillators are derived within Lindblad's axiomatic approach. Consequences of the fundamental constraints on the quantum friction coefficients are discussed. We derive the equations of motion for the expectation values and variances, and we solve them analytically. We apply our results to the description of the charge and mass asymmetry coordinates in heavy-ion collisions, and we investigate the effect of dissipation on tunneling in sub-barrier processes.The elements of the quantum mechanical Markovian diffusion matrix leading to a Gibbs equilibrium state for a set of N coupled quantum harmonic oscillators are derived within Lindblad's axiomatic approach. Consequences of the fundamental constraints on the quantum friction coefficients are discussed. We derive the equations of motion for the expectation values and variances, and we solve them analytically. We apply our results to the description of the charge and mass asymmetry coordinates in heavy-ion collisions, and we investigate the effect of dissipation on tunneling in sub-barrier processes.

arXiv:1005.4185Journal of Physics G Nuclear and Particle PhysicsNov 12, 201010 citations

About the proof that the s-wave functions of the hydrogen atom obey the Ehrenfest equation of motion

Klaus Renziehausen, Ingo Barth

Applying the concept of quantum hydrodynamics on a hydrogen atom, one can derive an equation of motion which describes the time derivative of the mass current density for the relative motion of the electron and the proton. Since this derivation can be performed with the Ehrenfest theorem, we call this equation the Ehrenfest equation of motion. As quantum hydrodynamics is consistent with Schrödinger's quantum mechanics, the stationary s-wave functions satisfy both the Schrödinger equation and the Ehrenfest equation of motion. It is the purpose of this paper to prove that the stationary s-wave functions satisfy the Ehrenfest equation of motion. From the quantum hydrodynamical point of view, this result for s-wave functions can be interpreted that the Coulomb force density that attracts the electron to the proton is compensated by a quantum force density that is related to the dispersion of the probability density.Applying the concept of quantum hydrodynamics on a hydrogen atom, one can derive an equation of motion which describes the time derivative of the mass current density for the relative motion of the electron and the proton. Since this derivation can be performed with the Ehrenfest theorem, we call this equation the Ehrenfest equation of motion. As quantum hydrodynamics is consistent with Schrödinger's quantum mechanics, the stationary s-wave functions satisfy both the Schrödinger equation and the Ehrenfest equation of motion. It is the purpose of this paper to prove that the stationary s-wave functions satisfy the Ehrenfest equation of motion. From the quantum hydrodynamical point of view, this result for s-wave functions can be interpreted that the Coulomb force density that attracts the electron to the proton is compensated by a quantum force density that is related to the dispersion of the probability density.

Journal of Physics Conference SeriesJul 1, 20170 citations

On the Ehrenfest theorem and centroids of relativistic particles

Konstantin Yu Bliokh

arXiv:2412.11115Physics Letters AMar 10, 20254 citations

Equations of motion in Ehrenfest’s theorem for heavy-ion collisions

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