Presentation
Triplet State of a Quantum Dot in a Magnetic Field: A ‘Quantal-Newtonian’ First Law Study
The American Physical Society
(2019)
Abstract
The triplet 23S state of a two-electron quantum dot in a
magnetic field is studied from the perspective of the 'Quantal
Newtonian' first law. The exact analytical wave function solution
of the corresponding Schrödinger-Pauli equation is derived. The
anti-symmetric nature of the spatial part of the wave function, and
the satisfaction by it of the node electron-electron coalescence
constraint is displayed. The quantal sources of the density,
pair-correlation density, the Fermi-Coulomb hole charge, the
single-particle density matrix, and the current density, and from
these the corresponding Hartree, electron-interaction,
Pauli-Coulomb, Differential Density, Kinetic, and Effective Magnetic
fields are determined. The total energy, and both its external and
internal components are obtained from the various fields. The
intrinsic self-consistent nature of the Schrödinger-Pauli
equation, and thereby the satisfaction of the 'Quantal Newtonian'
first law is shown.
Disciplines
Publication Date
March, 2019
Location
Boston MA
Citation Information
M. Slamet, and V. Sahni, “Triplet State of a Quantum Dot in a Magnetic Field: A ‘Quantal-Newtonian’ First Law Study” (presented at the 2019 March Meeting of The American Physical Society in Boston, Massachusetts).
https://meetings.aps.org/Meeting/MAR19/Session/L32.12