scholarly journals Wave Function Identity: A New Symmetry for 2-electron Systems in an Electromagnetic Field

2022 ◽  
pp. 111453
Author(s):  
Marlina Slamet ◽  
Viraht Sahni
Keyword(s):  
Wave Function ◽  
Electromagnetic Field ◽  
Electron Systems ◽  
Function Identity

On the Role of the Pauli Antisymmetry Principle in Pericyclic Reactions

1997 ◽  
Vol 52 (10) ◽  
pp. 727-738
Author(s):  
Michael C. Böhm ◽  
Johannes Schütt
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Statistical Difference ◽  
Pericyclic Reactions ◽  
Electron Systems ◽  
Electronic Wave Function ◽  
Quantum Statistical ◽  
Definition Of ◽  
Electronic Ground

Abstract In the present work we discuss the role of the Pauli antisymmetry principle (PAP) in synchronous pericyclic reactions. These reactions are allowed in the electronic ground state whenever the PAP does not act as a quantum constraint in the transition state. The possible suppression of the influence of the PAP is a peculiarity of π electron systems. The PAP is a hidden (= deactivated) variable in the π electron subspace of polyenes and (4n + 2) annulenes (n = 0, 1, 2,...). In 4n annulenes (n = 1, 2, 3,...) it leads to minority signs in the kinetic hopping matrix of the π electronic wave function and thus to an energetic destabilization. The quantum statistical difference between the above families of π systems renders possible a microscopical definition of the quantities “aromaticity” and “antiaromaticity”. The sign behaviour of the kinetic hopping elements is used in the discussion of pericyclic reactions. The present quantum statistical description of these reactions is related to the Dewar-Zimmermann and Woodward-Hoffmann rules.

scholarly journals The Quaternionic Commutator Bracket and Its Implications

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 513 ◽  
Author(s):  
Arbab Arbab ◽  
Mudhahir Al Ajmi
Keyword(s):  
Wave Function ◽  
Electromagnetic Field ◽  
Angular Momentum ◽  
Charged Particle ◽  
Magnetic Fields ◽  
Interaction Energy ◽  
Internal Structure ◽  
Magnetic Moments ◽  
Electric And Magnetic Fields ◽  
Aharonov Bohm

A quaternionic commutator bracket for position and momentum shows that the quaternionic wave function, viz. ψ ˜ = ( i c ψ 0 , ψ → ) , represents a state of a particle with orbital angular momentum, L = 3 ℏ , resulting from the internal structure of the particle. This angular momentum can be attributed to spin of the particle. The vector ψ → , points in an opposite direction of L → . When a charged particle is placed in an electromagnetic field, the interaction energy reveals that the magnetic moments interact with the electric and magnetic fields giving rise to terms similar to Aharonov–Bohm and Aharonov–Casher effects.

scholarly journals Unified Theory of Electrons and Photons in Heavy Ion Collisions

1980 ◽  
Vol 35 (6) ◽  
pp. 579-589 ◽  
Author(s):  
Johannes Kirsch
Keyword(s):  
Electromagnetic Field ◽  
Heavy Ion Collisions ◽  
Matrix Theory ◽  
Heavy Ion ◽  
Unified Theory ◽  
Electron Systems ◽  
New Approach ◽  
Ion Collisions ◽  
S Matrix ◽  
Molecular Radiation

We present a unified formulation of the interaction of electrons with the electromagnetic field in heavy ion collisions, based on quantized interacting fields. This reduces the effort in treating many-electron systems substantially, as compared with the usual S-matrix theory. Both formalisms are shown to be equivalent. The simplification achieved by our new approach is demonstrated in detail for the example of quasi-molecular radiation

scholarly journals Magnetic-field reentrant wave function hybridization in stacked one-dimensional electron systems

2010 ◽  
Author(s):  
S. S. Buchholz ◽  
P. S. Zapp ◽  
S. F. Fischer ◽  
U. Kunze ◽  
D. Schuh ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Electron Systems ◽  
Dimensional Electron ◽  
One Dimensional

scholarly journals A minimalist pilot-wave model for quantum electrodynamics

2007 ◽  
Vol 463 (2088) ◽  
pp. 3115-3129 ◽  
Author(s):  
W Struyve ◽  
H Westman
Keyword(s):  
Wave Function ◽  
Electromagnetic Field ◽  
Quantum Theory ◽  
Quantum Electrodynamics ◽  
Degrees Of Freedom ◽  
Relativistic Quantum ◽  
Wave Model ◽  
Relativistic Quantum Theory ◽  
Pilot Wave ◽  
Free Electromagnetic Field

We present a way to construct a pilot-wave model for quantum electrodynamics. The idea is to introduce beables corresponding only to the bosonic and not to the fermionic degrees of freedom of the quantum state. We show that this is sufficient to reproduce the quantum predictions. The beables will be field beables corresponding to the electromagnetic field and will be introduced in a way similar to that of Bohm's model for the free electromagnetic field. Our approach is analogous to the situation in non-relativistic quantum theory, where Bell treated spin not as a beable but only as a property of the wave function. After presenting this model, we also discuss a simple way for introducing additional beables that represent the fermionic degrees of freedom.

Analytical wave function of an atomic electron under the action of a powerful ultrashort electromagnetic field pulse

2019 ◽  
Vol 44 (12) ◽  
pp. 3042 ◽  
Author(s):  
Dmitry N. Makarov ◽  
Marat K. Eseev ◽  
Ksenya A. Makarova
Keyword(s):  
Wave Function ◽  
Electromagnetic Field ◽  
Atomic Electron ◽  
Field Pulse
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