LEADER 03754nam 22005173 450 001 9910485586403321 005 20250204111730.0 010 $a9783658326456 010 $a365832645X 035 $a(CKB)5590000000503296 035 $a(MiAaPQ)EBC6675979 035 $a(Au-PeEL)EBL6675979 035 $a(OCoLC)1258656207 035 $a(BIP)078100624 035 $a(PPN)269152768 035 $a(Exl-AI)6675979 035 $a(MiFhGG)9783658326456 035 $a(EXLCZ)995590000000503296 100 $a20210901d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantum Mechanics $eIntroduction to Mathematical Formulation 210 1$aWiesbaden :$cSpringer Fachmedien Wiesbaden GmbH,$d2021. 210 4$d©2021. 215 $a1 online resource (42 pages) 225 1 $aEssentials 311 08$a9783658326449 311 08$a3658326441 327 $aIntro -- 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 Schro?dinger 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 Schro?dinger's Cat -- 4.3 The Stern-Gerlach Experiment -- What You Learned From This essential -- Literature. 330 8 $aAnyone who has always wanted to understand the hieroglyphs on Sheldon's blackboard in the television series The Big Bang Theoryor who wanted to know exactly what the fate of Schro?dinger's cat is all about will find a short, descriptive introduction to the world of quantum mechanics in this essential. In particular, the text focuses on the mathematical description in the Hilbert space. The content goes beyond popular scientific presentations, but is nevertheless suitable for readers without special prior knowledge thanks to the clear examples.This Springer essentialis a translation of the original German 1st edition essentials,Quantenmechanikby Martin Pieper published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2019.The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.The author:Prof. Dr. Martin Pieperhas been Professor of Mathematics and Simulation at the FH Aachen since 2011. Before he was appointed to the FH Aachen, he was a research assistant in the Optimization department of the Fraunhofer Institute for Industrial Mathematics. 410 0$aEssentials 606 $aQuantum theory$7Generated by AI 606 $aMathematical physics$7Generated by AI 615 0$aQuantum theory 615 0$aMathematical physics 700 $aPieper$b Martin$0913360 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910485586403321 996 $aQuantum Mechanics$92045966 997 $aUNINA