A Matrix Formalism for the Fock Operator Relative to a Quantum Spherical Non-Parabolic Electron Gas

Grado-Caffaro, M.

doi:10.1016/s0034-4877(13)60015-4

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Intensity Of Electric Quadrupole Emission In Oxygen 751

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Cited by 4 publications

(3 citation statements)

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“…This product must not be confused with the standard tensor product in the Krönecker sense used in Quantum Mechanics. The above-mentioned dyadic product arises from multiplying dyadically two vectors [4][5][6]. Consequently, we have:…”

Section: Intensity Of Electric Quadrupole Emission In Oxygen 75mentioning

confidence: 99%

Intensity of electric quadrupole emission in oxygen investigated by means of a matrix formalism

Grado-Caffaro¹,

Palacios²

2014

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Section: Intensity Of Electric Quadrupole Emission In Oxygen 75mentioning

confidence: 99%

Intensity of electric quadrupole emission in oxygen investigated by means of a matrix formalism

Grado-Caffaro¹,

Palacios²

2014

astp

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“…But that our formalism be somewhat, say, abstract does not imply that it be unuseful (regard the beginning of this section). We will employ the concept of standard tensorial product in Quantum Mechanics and also a dyadic-tensor product [5][6][7][8] distinct from the above product. With these ingredients, an elegant and accurate formulation will be derived.…”

Section: Introductionmentioning

confidence: 99%

“…where  denotes the mentioned-above dyadic-tensor product [5][6][7][8], tr designates trace, and G ,  are the matrices…”

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confidence: 99%

A Tensorial Formalism for Studying Orbital and Spin States in a Multielectron System

Grado-Caffaro¹

2019

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We present a tensorial formalism to investigate the physics of a given multielectron system from the standpoint of orbital and spin states. In fact, we determine the space of total quantum states as tensor product between the space of orbital states and the space of spin states. This product is the usual tensor product in the Krönecker sense employed in Quantum Mechanics but, in our formalism, we employ also a different tensor product which we call dyadic-tensorial product.

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Mathematical–Physics Investigation on the Behaviour of a Metamagnetic System

Grado-Caffaro

2017

Zeitschrift Für Naturforschung A

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In order to exemplify, we consider a finite itinerant-electron metamagnetic gas at sufficiently low absolute temperature so that relevant new results are obtained. In fact, we study key aspects related to derive the electronic energy of the abovementioned metamagnetic gas in relation to the Fermi levels of the spin-up and spin-down electron bands and in relation to the exchange energy and magnetic susceptibility. Within an unprecedented mathematical–physics approach, the abovementioned electronic energy is reinterpreted by defining it as an averaged quantity from the corresponding nonrelativistic, time-independent, Schrödinger equation with two-band energy-eigenvalue spectrum. In parallel, a matrix formulation is presented.

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A Matrix Formalism for the Fock Operator Relative to a Quantum Spherical Non-Parabolic Electron Gas

Cited by 4 publications

References 15 publications

Intensity of electric quadrupole emission in oxygen investigated by means of a matrix formalism

Intensity of electric quadrupole emission in oxygen investigated by means of a matrix formalism

A Tensorial Formalism for Studying Orbital and Spin States in a Multielectron System

Mathematical–Physics Investigation on the Behaviour of a Metamagnetic System

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