2017
DOI: 10.3390/computation5010015
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Schrödinger Theory of Electrons in Electromagnetic Fields: New Perspectives

Abstract: The Schrödinger theory of electrons in an external electromagnetic field is described from the new perspective of the individual electron. The perspective is arrived at via the time-dependent "Quantal Newtonian" law (or differential virial theorem). (The time-independent law, a special case, provides a similar description of stationary-state theory). These laws are in terms of "classical" fields whose sources are quantal expectations of Hermitian operators taken with respect to the wave function. The laws reve… Show more

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Cited by 9 publications
(13 citation statements)
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“…In Ref. , this is demonstrated for the 2D case of two quantum dots in a uniform magnetic field, one in a ground and the other in an excited state. The time‐evolution of the wave functions for the same states of these systems is also described in conjunction with the Generalized Kohn theorem …”
Section: Schrödinger Equation In Self‐consistent Formmentioning
confidence: 94%
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“…In Ref. , this is demonstrated for the 2D case of two quantum dots in a uniform magnetic field, one in a ground and the other in an excited state. The time‐evolution of the wave functions for the same states of these systems is also described in conjunction with the Generalized Kohn theorem …”
Section: Schrödinger Equation In Self‐consistent Formmentioning
confidence: 94%
“…For examples of the intrinsic self‐consistent nature of the Schrödinger equation and the satisfaction of the “Quantal Newtonian” laws for the stationary‐state and time‐dependent cases, we refer the reader to Refs. . In Ref.…”
Section: Schrödinger Equation In Self‐consistent Formmentioning
confidence: 99%
“…Based on both theory and experiment, it is accepted that the electrons in such “artificial atoms” are confined by a harmonic potential. Recent work which proves the Schrödinger equation to be self‐consistent can also be employed to arrive at this conclusion. As a consequence of these facts, the size of a quantum dot is an order of magnitude greater than that of a natural atom.…”
Section: Introductionmentioning
confidence: 93%
“…This has significance for calculations within the context of traditional density functional theory as discussed below. However, although such “artificial atoms” differ in dimensionality, size, and binding potential, their electronic properties exhibit structure similar to those of natural atoms …”
Section: Introductionmentioning
confidence: 99%
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