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Scattering of a Light Particle by a System of Harmonic Oscillators

Domenico Finco, Alessandro Teta

Reports on Mathematical PhysicsJun 1, 20070 citations

Oscillator Representation in Quantum Physics

M. Dineykhan, Гарий Владимирович Ефимов, Gurjav Ganbold +1 more

Lecture notes in physics. M, MonographsJan 1, 199565 citations

Kritische Analyse Der Quantenfeldtheorie Und Rekonstruktion im Rahmen Der Klassischen Feldtheorie

Manfred Buth

A critical inspection of quantum field theory will reveal that quantum field theory can be reconstructed only by means of classical field theory. In detail the following six assertions are claimed and proved: (1) Perturbation theory can be achieved by means of classical field theory. (2) Particles that are independent of one another are not correlated. This is especially true for the ingoing particles of scattering processes. (3) Outgoing particles in scattering processes are correlated. But the usual justification of quantum statistics is faulty. (4) In quantum field theory there is an amazing multitude of particle concepts. But a concise description of real existing elementary particles is lacking. (5) The path integral representation is not clearly defined in the particle picture of quantum mechanics. In the wave picture it is only another description of the expansion of a quantum state. (6) Functional representation is nothing else than a comprehensive version of perturbation theory.A critical inspection of quantum field theory will reveal that quantum field theory can be reconstructed only by means of classical field theory. In detail the following six assertions are claimed and proved: (1) Perturbation theory can be achieved by means of classical field theory. (2) Particles that are independent of one another are not correlated. This is especially true for the ingoing particles of scattering processes. (3) Outgoing particles in scattering processes are correlated. But the usual justification of quantum statistics is faulty. (4) In quantum field theory there is an amazing multitude of particle concepts. But a concise description of real existing elementary particles is lacking. (5) The path integral representation is not clearly defined in the particle picture of quantum mechanics. In the wave picture it is only another description of the expansion of a quantum state. (6) Functional representation is nothing else than a comprehensive version of perturbation theory.

Jun 1, 20140 citations

The three-particle scattering operator in the correlation pattern representation

Javier de la Rubia, J. Javier Brey, FranciscoJ. Moreno

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento BOct 1, 19760 citations

Second quantization for composite particles, reactive collisions, and unstable particles

Marvin D. Girardeau

Abstract The salient features of generalized second‐quantization representations for nonrelativistic systems of composite particles are reviewed and their application to a reformulation of the quantum theory of reactive collisions is discussed. Such representations allow the properties of the bound composite states to be built explicitly into the algebra of states and observables. A single unperturbed Hamiltonian simultaneously describes the free propagation of the various species of bound composites as well as of their unbound constituents, while the interaction Hamiltonian describes only true scattering and reaction processes. The inclusion of the binding of all composites in the unperturbed Hamiltonian cures the divergences in the Born series arising from bound‐state poles. Unstable composites can be included in a natural way, leading to an explicit representation for the kinematics and dynamics of their decay and their contribution to collision phenomena.Abstract The salient features of generalized second‐quantization representations for nonrelativistic systems of composite particles are reviewed and their application to a reformulation of the quantum theory of reactive collisions is discussed. Such representations allow the properties of the bound composite states to be built explicitly into the algebra of states and observables. A single unperturbed Hamiltonian simultaneously describes the free propagation of the various species of bound composites as well as of their unbound constituents, while the interaction Hamiltonian describes only true scattering and reaction processes. The inclusion of the binding of all composites in the unperturbed Hamiltonian cures the divergences in the Born series arising from bound‐state poles. Unstable composites can be included in a natural way, leading to an explicit representation for the kinematics and dynamics of their decay and their contribution to collision phenomena.

International Journal of Quantum ChemistryJan 1, 198032 citations

THEORY OF MANY-PARTICLE SCATTERING.

V.V. Komarov, Anna M. Popova

Jan 1, 19690 citations

True many-particle scattering in the oscillator representation

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