Gauge symmetry, chirality and parity effects in four-particle systems: Coulomb's law as a universal function for diatomic molecules

Hooydonk, G. Van

doi:10.1016/s1386-1425(00)00298-5

Cited by 16 publications

(40 citation statements)

References 137 publications

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“…However, for charge-asymmetrical H-H, H-H systems [1,4,6], an algebraic switch (a parity operator P)…”

Section: Integral the Appearance Of Exchange Forces In Hl-theory Wasmentioning

confidence: 99%

“…Its effect is restricted to the 4 inter-atomic terms in (2b) [6], since intra-atomic terms remain as in HL-approach (1). As only part of the terms in (1) is affected by one intra-atomic charge inversion, this gives another Hamiltonian H -with a different internal algebra (symmetry) than (1 the starting point in all studies on HH [1,4,6]. Here, the asymptote contains neutral atoms H and H and if the last term in (3) were again decisive for the interaction, the same asymptote is now reached from the attractive side, suggesting that, instead of H 2 , only HH can be the stable molecular hydrogen system, present in nature.…”

Section: Integral the Appearance Of Exchange Forces In Hl-theory Wasmentioning

confidence: 99%

“…In MO-theory, ionic structures are as important as the covalent ones. In VB-theory, the ionic contribution is parameterized [6], a secondary problem we also discuss below.…”

Section: This Internal Inconsistency Is the More Remarkable As The Efmentioning

confidence: 99%

“…In this intermediate state, the 4 particles are redistributed asymmetrically by virtue of +4=+1+3 =+3+1. In terms of particles, this means: one composite particle, consisting of 3 sub-particles, and one non-composite particle (an elementary particle) [6]. With respect to even systems (2+2) in (4a) and (4b), this intermediate state is odd.…”

Section: Different Asymptotes For Different Particle Aggregates and Tmentioning

confidence: 99%

“…These must be exactly +1/3 or -1/3 unit charge each, pending the total charge of the composite particle. For physicists, this would lead to the now standard quark model [6,7]. For chemists, this simply leads to a classical ionic model, wherein a non-composite cation (1 baryon) with total charge +1 interacts, through Coulomb's law, with its charge conjugated composite anion with total charge -1 (1 baryon and 2 leptons).…”

Section: Different Asymptotes For Different Particle Aggregates and Tmentioning

confidence: 99%

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The 4-particle hydrogen-antihydrogen system revisited

Hooydonk

2005

Eur. Phys. J. D

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Abstract. The historical importance of the original quantummechanical bond theory proposed by Heitler and London in 1927 as well as its pitfalls are reviewed. Modern ab initio treatments of H-H systems are inconsistent with the logic behind algebraic Hamiltonians H±=H0±∆H for charge-symmetrical and chargeasymmetrical 4 unit charge systems like H2 and HH. Their eigenvalues E±=E0±β are exactly those of 1927 Heitler-London (HL) theory. Since these 2 Hamiltonians are mutually exclusive, only the attractive one can apply for stable natural molecular H2. A wrong choice leads to problems with antiatom H. In line with earlier results on band and line spectra, we now prove that HL chose the wrong Hamiltonian for H2. Their theory explains the stability of attractive system H2 with a repulsive Hamiltonian H0+∆H instead of with the attractive one H0-∆H, representative for charge-asymmetrical system HH. A new second order symmetry effect is detected in this attractive Hamiltonian, which leads to a 3-dimensional structure for the 4-particle system. Repulsive HL Hamiltonian H+ applies at long range but at the critical distance, attractive charge-inverted Hamiltonian Htakes over and leads to bond H2 but in reality, HH, for which we give an analytical proof. This analysis confirms and generalizes an earlier critique of the wrong long range behavior of HL-theory by Bingel, Preuss and Schmidtke and by Herring. Another wrong asymptote choice in the past also applies for atomic antihydrogen H, which has hidden the Mexican hat potential for natural hydrogen. This generic solution removes most problems, physicists and chemists experience with atomic H and molecular HH, including the problem with antimatter in the Universe.

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“…However, for charge-asymmetrical H-H, H-H systems [1,4,6], an algebraic switch (a parity operator P)…”

Section: Integral the Appearance Of Exchange Forces In Hl-theory Wasmentioning

confidence: 99%

Section: Integral the Appearance Of Exchange Forces In Hl-theory Wasmentioning

confidence: 99%

“…In MO-theory, ionic structures are as important as the covalent ones. In VB-theory, the ionic contribution is parameterized [6], a secondary problem we also discuss below.…”

Section: This Internal Inconsistency Is the More Remarkable As The Efmentioning

confidence: 99%

Section: Different Asymptotes For Different Particle Aggregates and Tmentioning

confidence: 99%

Section: Different Asymptotes For Different Particle Aggregates and Tmentioning

confidence: 99%

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The 4-particle hydrogen-antihydrogen system revisited

Hooydonk

2005

Eur. Phys. J. D

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Discrete and continuum quantum states for the Kratzer oscillator

Matamala

2002

Int J of Quantum Chemistry

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ABSTRACT:Kratzer oscillator is a realistic zero-order model for describing the anharmonic ro-vibrational motion in diatomic molecules. Kratzer oscillator has an energy spectrum containing both discrete and continuum parts. Wavefunctions belonging to the continuum would be useful in the study of transitions to the continuum in molecular dissociation processes. In this article, bound and scattering wavefunctions of the Kratzer oscillator are reviewed and the bound-bound and the bound-free matrix elements are obtained.

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