Title Schr??dinger Theory of Electrons: Complementary Perspectives Author(s) Sahni, Viraht Publication Cham, 1. Imprint: Springer 2. Springer International Publishing, 2022. Description XVIII, 407 p. 54 illus., 41 illus. in color : online resource Abstract Note This book presents a complementary perspective to Schr??dinger theory of electrons in an electromagnetic field, one that does not appear in any text on quantum mechanics. The perspective, derived from Schr??dinger 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 Schr??dinger theory emerge which show the equation to be intrinsically self-consistent. Another complimentary perspective to Schr??dinger 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 Schr??dinger 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 ISBN,Price 9783030974091 Keyword(s) 1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. QUANTUM FIELD THEORY 8. QUANTUM PHYSICS Item Type Book Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I12426     On Shelf