This book plays a crucial role in understanding the dynamics of quantum systems, exploring how group velocity shapes the behavior of electrons, photons, and other quantum entities while challenging classical perspectives on atomic orbitals and solid-state physics.

In conventional treatments, atomic orbitals are constructed from plane waves with fixed energies, disregarding the role of group velocity. But what happens when group velocity is considered? Incorporating group velocity leads to unexpected results: electron waves disperse, atomic structures grow unrealistically large, and familiar models of the hydrogen atom require rethinking. This analysis reveals how group velocity introduces forces that demand new physics to reconcile.

Beyond atomic orbitals, the influence of group velocity extends to solid-state physics, shaping electron transport, superconductivity, and lattice dynamics. In optics, it governs photon propagation and optical emissions, while in high-energy physics, it plays a crucial role in determining scattering cross-sections. Applications also span Fermi liquid theory and the behavior of electrons in magnetic fields, offering a unified framework that bridges diverse areas of modern physics.

Serving as a compelling resource for researchers, students, and enthusiasts of quantum mechanics, solid-state physics, and optical sciences, this work provides a fresh perspective on the interplay between wave dynamics and the physical world.

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Electrons, photons and relativity.-  Atomic orbitals and group velocity.- Electrons in solid state.- Group velocity and superconductivity.- Group velocity and optical emissions.- Lattices and coherent electrons and photons.-Group velocity and cross sections.- Group velocity of electrons in magnetic fields.- Fermi liquid theory.- ETC..

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This book plays a crucial role in understanding the dynamics of quantum systems, exploring how group velocity shapes the behavior of electrons, photons, and other quantum entities while challenging classical perspectives on atomic orbitals and solid-state physics.

In conventional treatments, atomic orbitals are constructed from plane waves with fixed energies, disregarding the role of group velocity. But what happens when group velocity is considered? Incorporating group velocity leads to unexpected results: electron waves disperse, atomic structures grow unrealistically large, and familiar models of the hydrogen atom require rethinking. This analysis reveals how group velocity introduces forces that demand new physics to reconcile.

Beyond atomic orbitals, the influence of group velocity extends to solid-state physics, shaping electron transport, superconductivity, and lattice dynamics. In optics, it governs photon propagation and optical emissions, while in high-energy physics, it plays a crucial role in determining scattering cross-sections. Applications also span Fermi liquid theory and the behavior of electrons in magnetic fields, offering a unified framework that bridges diverse areas of modern physics.

Serving as a compelling resource for researchers, students, and enthusiasts of quantum mechanics, solid-state physics, and optical sciences, this work provides a fresh perspective on the interplay between wave dynamics and the physical world.

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Explores group velocity's impact on quantum mechanics, solid-state physics, and optical phenomena Provides fresh insights into superconductivity, lattice dynamics, and photon-electron coherence Bridges quantum, solid-state, and optical physics through the unifying concept of group velocity
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Produktdetaljer

ISBN
9783031927614
Publisert
2025-09-15
Utgiver
Springer International Publishing AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Graduate, P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
190

Forfatter

Biografisk notat

Navin Khaneja holds a B.Tech. in Electrical Engineering from IIT Kanpur (1994), an M.A. and M.Sc. in Mathematics and Electrical Engineering from Washington University in St. Louis (1997), and a Ph.D. in Applied Mathematics from Harvard University in 2000. Distinguished by prestigious accolades including the NSF Career Award, the Sloan Fellowship, and the Bessel Prize of the Humboldt Foundation, his scholarly pursuits traverse the domains of control theory and NMR spectroscopy. With a prolific output, he has authored nearly 90 journal papers, contributing significantly to the advancement of his fields of expertise.