Quantum Mechanics : Introduction to Mathematical Formulation

• Autore: Pieper Martin
• Pubblicazione: Wiesbaden : , : Springer Fachmedien Wiesbaden GmbH, , 2021; ©2021
• Descrizione fisica: 1 online resource (42 pages)
• Soggetto topico: Quantum theory; Mathematical physics
• Nota di contenuto: Intro -- What You Can Find in This essential -- Preface -- Acknowledgment -- Contents -- 1 Introduction -- 2 Quantum Mechanical Phenomena -- 2.1 Atomic Models According to Bohr and Sommerfeld -- 2.2 Particle in a Box -- 2.2.1 Quantum Mechanical States -- 2.2.2 Discrete Energy Levels and Position Probability -- 2.2.3 Correspondence Principle and Hamiltonian -- 2.2.4 Preparation and Superposition of States -- 3 Mathematical formulation -- 3.1 Heisenberg and Schrödinger Representation -- 3.2 Postulates of Quantum Mechanics -- 3.2.1 Postulate 1: States in the Hilbert Space -- 3.2.2 Postulate 2: Measured Values, Operators and Eigenvalues -- 3.2.3 Postulate 3: Probabilities -- 3.3 Solution Algorithm -- 4 Examples of Use -- 4.1 A Thought Experiment with Toy Blocks -- 4.2 Schrödinger's Cat -- 4.3 The Stern-Gerlach Experiment -- What You Learned From This essential -- Literature.
• Sommario/riassunto: Anyone who has always wanted to understand the hieroglyphs on Sheldon's blackboard in the television series The Big Bang Theoryor who wanted to know exactly what the fate of Schrödinger's cat is all about will find a short, descriptive introduction to the world of quantum mechanics in this essential. In particular, the text focuses on the mathematical description in the Hilbert space. The content goes beyond popular scientific presentations, but is nevertheless suitable for readers without special prior knowledge thanks to the clear examples.This Springer essentialis a translation of the original German 1st edition essentials,Quantenmechanikby Martin Pieper published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2019.The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.The author:Prof. Dr. Martin Pieperhas been Professor of Mathematics and Simulation at the FH Aachen since 2011. Before he was appointed to the FH Aachen, he was a research assistant in the Optimization department of the Fraunhofer Institute for Industrial Mathematics.
• Titolo autorizzato: Quantum Mechanics
• ISBN: 9783658326456; 365832645X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910485586403321
• Lo trovi qui: Univ. Federico II
• Serie: Essentials