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The ‘Quantal Newtonian’ First Law: A Complementary Perspective to the Stationary‐state Quantum Theory of Electrons

Von Wiley-VCH zur Verfügung gestellt

A complementary perspective to stationary-state Schrödinger-Pauli/Schrödinger theory of electrons in an electromagnetic field is described. The perspective is that of the individual electron via its equation of motion or ‘Quantal Newtonian’ First Law. The perspective is elucidated by application to semiconductor quantum dots in a magnetic field in a ground, and first excited singlet and triplet states. The relationship of the new perspective to Quantal and traditional density functional theories is briefly explained.


Abstract

A complementary perspective to the Göttingen-Copenhagen interpretation of stationary-state quantum theory of electrons in an electromagnetic field is described. The perspective, derived from Schrödinger-Pauli theory, is that of the individual electron via its equation of motion or ‘Quantal Newtonian’ First Law. The Law is in terms of ‘classical’ fields experienced by each electron: the sum of the external and internal fields vanishes. The external field is a sum of the electrostatic and Lorentz fields. The internal field is a sum of fields’ representative of Pauli and Coulomb correlations; kinetic effects; electron density; and internal magnetic component. The energy is obtained from these fields. The sources of the fields are expectation values of Hermitian operators. The perspective is elucidated by application to quantum dots in a magnetic field in a ground, excited singlet and triplet states. The relationship of the perspective to Quantal and traditional density functional theories is briefly explained.

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