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Article
Triplet 23S State of a Quantum Dot in a Magnetic Field: A ‘Quantal Newtonian’ First Law Study
Chemistry & Physics Faculty Publications
  • Marlina Slamet, Sacred Heart University
  • Viraht Sahni, CUNY Brooklyn College & CUNY Graduate Center
Document Type
Peer-Reviewed Article
Publication Date
6-1-2021
Abstract

The triplet 23S state of a 2-electron 2-dimensional quantum dot in a magnetic field is studied via a complementary perspective of Schr¨odinger-Pauli theory. The perspective is that of the individual electron via its equation of motion or ‘Quantal Newtonian’ first law. According to the law, each electron experiences an external and internal field, the sum of which vanishes. The external field is the sum of the binding and Lorentz fields. The internal field is a sum of the electron-interaction, kinetic, differential density, and internal magnetic fields. The energy is expressed in integral virial form in terms of these fields. The quantal sources of the density; paramagnetic, diamagnetic, and magnetization current densities; pair-correlation density; the Fermi-Coulomb hole charge; and the single-particle density matrix are obtained, and from them the corresponding fields determined. The fields are shown to satisfy the first law.

Comments

In press, corrected proof. Available online 16 December 2020.

DOI
10.1016/j.chemphys.2020.111073
Citation Information

Slamet, M., & Sahni, V. (2021). Triplet 23S state of a quantum dot in a magnetic field: A ‘Quantal Newtonian’ first law study. Chemical Physics, 546(111073). . Doi: 10.1016/j.chemphys.2020.111073