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The point interactions in the quantum problem of three particles with internal structure

Konstantin A. Makarov, V. V. Melezhik, Alexander Konstantinovich Motovilov

Unknown eBooksJan 1, 19942 citations

Quantum few-body problem with internal structure. II. Three-body problem

Yu. A. Kuperin, Konstantin A. Makarov, S. P. Merkur′ev +2 more

Theoretical and Mathematical PhysicsAug 1, 19885 citations

Internal structures of electrons and photons: The concept of extended particles revisited

Werner A. Hofer

The theoretical foundations of quantum mechanics and de Broglie–Bohm mechanics are analyzed and it is shown that both theories employ a formal approach to microphysics. By using a realistic approach it can be established that the internal structures of extended particles comply with a wave equation. Including external potentials yields the Schrödinger equation in this context, is arbitrary due to internal energy components. The statistical interpretation of wave functions in quantum theory as well as Heisenberg’s uncertainty relations are shown to be an expression of this, fundamental arbitrariness. Electrons and photons can be described by an identical formalism, providing formulations equivalent to the Maxwell equations. Electrostatic interactions justify the initial assumption of electron–wave stability: the stability of electron waves can be referred to vanishing intrinsic fields of interaction. The theory finally points out some fundamental difficulties for a fully covariant formulation of quantum electrodynamics, which seem to be related to the existing infinity problems in this field.The theoretical foundations of quantum mechanics and de Broglie–Bohm mechanics are analyzed and it is shown that both theories employ a formal approach to microphysics. By using a realistic approach it can be established that the internal structures of extended particles comply with a wave equation. Including external potentials yields the Schrödinger equation in this context, is arbitrary due to internal energy components. The statistical interpretation of wave functions in quantum theory as well as Heisenberg’s uncertainty relations are shown to be an expression of this, fundamental arbitrariness. Electrons and photons can be described by an identical formalism, providing formulations equivalent to the Maxwell equations. Electrostatic interactions justify the initial assumption of electron–wave stability: the stability of electron waves can be referred to vanishing intrinsic fields of interaction. The theory finally points out some fundamental difficulties for a fully covariant formulation of quantum electrodynamics, which seem to be related to the existing infinity problems in this field.

Jan 1, 19988 citations

On the Point Interaction for a Three-Particle System in Quantum Mechanics

R. A. Minlos, Людвиг Дмитриевич Фаддеев

Soviet physics. DokladyJun 1, 196245 citations

Point interactions in quantum mechanics

Ş. Tunalı

Jan 1, 20142 citations

Internal geometry of n-body systems and one-particle states

Z. Chyliński, Edward Obryk

The nonrelativistic (NR) shell model of nuclei based on one-particle states results in a «surprise» pointed out by Peierls, which consists in the accelerated motion of «free» nucleus impossible to eliminate by the standard perturbation theory. The NR mechanics solves the puzzle by indicating a geometrically privileged position of the absolute configuration space generated by the three-dimensional space R 3 spanned on the relative coordinate «y». This converts the «n-body» problem into the «(n − 1)-relational-object» problem with absolute (frame-independent) structuresThe nonrelativistic (NR) shell model of nuclei based on one-particle states results in a «surprise» pointed out by Peierls, which consists in the accelerated motion of «free» nucleus impossible to eliminate by the standard perturbation theory. The NR mechanics solves the puzzle by indicating a geometrically privileged position of the absolute configuration space generated by the three-dimensional space R 3 spanned on the relative coordinate «y». This converts the «n-body» problem into the «(n − 1)-relational-object» problem with absolute (frame-independent) structures

Acta Physica Polonica BJan 1, 19930 citations

Point interactions in the problem of three quantum particles with internal structure

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