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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik Schrödinger Theory of Electrons: Complementary Perspectives
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Schrödinger Theory of Electrons: Complementary Perspectives
Viraht Sahni (Gebundene Ausgabe, Englisch)
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Beschreibung
This book presents a complementary perspective to Schrödinger theory of electrons in an electromagnetic field, one that does not appear in any text on quantum mechanics. The perspective, derived from Schrödinger theory, is that of the individual electron in the sea of electrons via its temporal and stationary-state equations of motion – the ‘Quantal Newtonian’ Second and First Laws. The Laws are… in terms of ‘classical’ fields experienced by each electron, the sources of the fields being quantum-mechanical expectation values of Hermitian operators taken with respect to the wave function. Each electron experiences the external field, and internal fields representative of properties of the system, and a field descriptive of its response. The energies are obtained in terms of the fields. The ‘Quantal Newtonian’ Laws lead to physical insights, and new properties of the electronic system are revealed. New mathematical understandings of Schrödinger theory emerge which show the equation to be intrinsically self-consistent. Another complimentary perspective to Schrödinger theory is its manifestation as a local effective potential theory described via Quantal Density Functional theory. This description too is in terms of ‘classical’ fields and quantal sources. The theory provides a rigorous physical explanation of the mapping from the interacting system to the local potential theory equivalent. The complementary perspective to stationary ground state Schrödinger theory founded in the theorems of Hohenberg and Kohn, their extension to the presence of a magnetic field and to the temporal domain – Modern Density Functional Theory -- is also described. The new perspectives are elucidated by application to analytically solvable interacting systems. These solutions and other relevant wave function properties are derived. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
08.07.2022
Sprache
Englisch
EAN
9783030974084
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Springer Tracts in Modern Physics
Sonderedition
Nein
Autor
Viraht Sahni
Seitenanzahl
407
Einbandart
Gebundene Ausgabe
Schlagwörter
Electronic Structure Theory, Quantal Newtonian Laws, Local Effective Potential Theory, Quantal Density Functional Theory, Density Functional Theory, Electron Cloud Model, Atomic Theory, Electrons in External Electromagnetic Fields, Quantal Newtonian Motion
Thema-Inhalt
PHQ - Quantenphysik (Quantenmechanik und Quantenfeldtheorie)
PHFC - Physik der kondensierten Materie (Flüssigkeits- und Festkörperphysik)
PHP - Teilchen- und Hochenergiephysik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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