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Article
Open AccessRelating the probability distribution of a de Broglie wave to its phase velocity
We show that the phase velocity in a stationary state of a de Broglie wave can be directly obtained from the probability distribution, i.e. the quantum trajectories, without detailed knowledge of the phase ter...
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Chapter
Clustering Effects Within the Dinuclear Model
The clustering of two nuclei in a nuclear system creates configurations denoted in literature as nuclear molecular structures. A nuclear molecule or a dinuclear system (DNS) as named by Volkov consists of two ...
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Article
Preface
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Chapter and Conference Paper
The inverse scattering problem for coupled channels with the modified newton-sabatier method
The modified Newton-Sabatier method is extended to the inverse scattering problem for coupled channels at fixed energy. The coupled Schrödinger equations are assumed to depend on a potential matrix which coupl...
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Chapter and Conference Paper
Fixed-energy inversion of polarisation-corrected electron-atom scattering phase-shifts into effective potentials
The modified Newton-Sabatier method is applied to invert electronatom scattering phase-shifts into effective potentials. The phase-shifts are corrected for the dipole polarisation interaction of the form −α/2r ...
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Chapter and Conference Paper
Modified symmetry generators for SO(3, 2) and algebraic scattering theory
Based on a realization found previously for the Lie-algebra of the group SO(3, 1) a new realization for the SO(3, 2) algebra is presented. The symmetry generators are matrix-valued differential operators. The mat...
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Chapter and Conference Paper
The Inverse Scattering Problem for Coupled Channels with the Modified Newton-Sabatier Method
The modified Newton-Sabatier method is extended to the inverse scattering problem for coupled channels at fixed energy. The coupled Schrödinger equations are assumed to depend on a potential matrix which coupl...
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Chapter and Conference Paper
Fixed-Energy Inversion of Polarisation-Corrected Electron-Atom Scattering Phase-Shifts into Effective Potentials
The modified Newton-Sabatier method is applied to invert electron-atom scattering phase-shifts into effective potentials. The phase-shifts are corrected for the dipole polarisation interaction of the form −α/2r ...
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Chapter and Conference Paper
Modified Symmetry Generators for SO(3, 2) and Algebraic Scattering Theory
Based on a realization found previously for the Lie-algebra of the group SO(3, 1) a new realization for the SO(3, 2) algebra is presented. The symmetry generators are matrix-valued differential operators. The mat...
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Book
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Chapter
Nuclear Molecular Phenomena in Heavy Ion Collisions
One of the interesting and outstanding aspects of heavy-ion nuclear physics is that nuclear molecules can be formed during collisions between heavy ions1. The narrow resonances observed in the energy dependence o...
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Chapter
Electron-Positron Pair Creation in Relativistic Atomic Heavy Ion Collisions
The production of electron-positron pairs in relativistic atomic heavy ion collisions has been studied with increasing interest in the last years. With the notation “atomic collisions” we mean collisions with ...
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Chapter
Spin-Dependent Generalized Collective Model
In an advanced course on quantum mechanics a student learns that the Dirac equation is constructed from a linearization of the Klein-Gordon equation. Whereas the latter describes a particle with no spin the fo...
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Chapter
Energy Dependence of the Inverted Scattering Potentials of the 12 C + 12 C System in the Range E cm = 8–12 MeV
The quantum inverse scattering problem at fixed energy1 is solved in two steps. First the elastic differential scattering cross section is analysed by a minimization procedure2 to obtain a set of phase shifts. Th...
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Chapter
Production of Electron-Positron Pairs in Atomic heavy Ion Collisions at Relativistic Energies
The production of electron-positron pairs in relativistic atomic heavy ion collisions has been studied with increasing interest in the last years. With the notation ”atomic collisions” we mean collisions with ...
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Chapter
Acceleration of Electrons by Lasers in Vacuum
Acceleration of electrons in vacuum to high energies is possible by laser wave packets with a finite lateral extension of the laser beam. Such an acceleration can be easily understood for electrons which are l...
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Chapter
The Collective Spin of Nuclear Surface Vibrations
The free Schrodinger equation for collective multipole degrees of freedom is linearised so that energy and momentum operators appear only in first order. The wave functions solving the linearised equation carr...
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Chapter
Atomic Processes in Relativistic Heavy Ion Collisions
Theoretical methods for the description of atomic processes in relativistic heavy ion collisions are reviewed. We present probabilities and cross sections for K-shell ionisation and pair creation which are obt...
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Chapter and Conference Paper
Theory of nuclear molecular states
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Article
Dependence of particle production in high energy heavy ion collisions on the nuclear equation of state
The total pion production cross section in central high energy heavy ion collisions depends strongly on the nuclear equation of state. This fact can be used to detect phase transitions from normal nuclear matt...
