01005cam0 22002893 450 SON000795920150310093601.020031124d1968 |||||ita|0103 baitaIT<<L' >>Arcadia e il MetastasioWalter BinniFirenzeLa Nuova Italia Editrice1968XLIII, 470 p.21 cmStudi Critici6001LAEC000192952001 *Studi Critici6Binni, WalterAF0001414507036093ITUNISOB20150310RICAUNISOBUNISOB85013453UNISOB85055823SON0007959M 102 Monografia moderna SBNM850000119SI13453ACQUISTOrovitoUNISOBUNISOB20150310093612.020150310093625.0rovito850001977SI55823acquistopregresso1UNISOBUNISOB20040323104105.020150310093640.0rovitoArcadia e il Metastasio97914UNISOB04072nam 22006855 450 991050300800332120251107173014.03-030-86098-110.1007/978-3-030-86098-1(CKB)4100000012037356(MiAaPQ)EBC6735882(Au-PeEL)EBL6735882(OCoLC)1273420881(PPN)258054352(DE-He213)978-3-030-86098-1(EXLCZ)99410000001203735620210927d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierA Mathematical Journey to Quantum Mechanics /by Salvatore Capozziello, Wladimir-Georges Boskoff1st ed. 2021.Cham :Springer International Publishing :Imprint: Springer,2021.1 online resource (294 pages)UNITEXT for Physics,2198-78903-030-86097-3 Includes bibliographical references and index.Introduction: How to read this book -- Newtonian, Lagrangian and Hamiltonian Mechanics -- Can Light be described by Classical Mechanics? -- Why Quantum Mechanics? -- The Schrödinger Equations and Their Consequences -- The Mathematics behind the Harmonic Oscillator -- From Monochromatic Plane Waves to Wave Packets -- The Heisenberg Uncertainty Principle and the Mathematics behind -- The Principles of Quantum Mechanics -- Consequences of Quantum Mechanics Principles -- Quantum Mechanics at the Next Level -- Conclusions.This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrödinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered. The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.UNITEXT for Physics,2198-7890Quantum physicsAtomic structure Molecular structureMathematical physicsFunctional analysisQuantum PhysicsAtomic and Molecular Structure and PropertiesTheoretical, Mathematical and Computational PhysicsFunctional AnalysisQuantum physics.Atomic structure .Molecular structure.Mathematical physics.Functional analysis.Quantum Physics.Atomic and Molecular Structure and Properties.Theoretical, Mathematical and Computational Physics.Functional Analysis.530.12Capozziello Salvatore53560Boskoff Wladimir-Georges1958-MiAaPQMiAaPQMiAaPQBOOK9910503008003321A mathematical journey to quantum mechanics2886953UNINA