02918nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050002000172072001600192072002300208072001500231100008400246245013000330250001800460264006900478300006600547336002600613337002600639338003600665347002400701490007500725505036300800520074601163650002801909650002601937650002101963650002801984650002602012650004402038650002102082710003402103773002602137776003602163776003602199776003602235830007502271856004602346912001502392999001702407978-3-031-49078-1DE-He21320251030111805.0cr nn 008mamaa240404s2024    sz |    s    |||| 0|eng d  a97830314907819978-3-031-49078-17 a10.1007/978-3-031-49078-12doi 4aQC173.96-174.52 7aPHQ2bicssc 7aSCI0570002bisacsh 7aPHQ2thema1 aBeyer, Horst R.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut97473610aIntroduction to Quantum Mechanicsh[electronic resource] :bWith a Focus on Physics and Operator Theory /cby Horst R. Beyer.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXXIV, 203 p. 29 illus., 18 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSynthesis Lectures on Engineering, Science, and Technology,x2690-03270 aIntroduction -- Constraints on Quantization -- Quantization of a Free Particle in n-Dimensional Space -- Commutators, Symmetries and Invariances -- Simple Quantum Systems in 1 Space Dimension -- Motion in a Central Force Field -- Motion in an Axially-Symmetric Force Field -- Scattering Theory -- Time-Dependent Quantum Systems and Propagators -- Conclusion.  aThis book presents an introduction to quantum mechanics that consistently uses the methods of operator theory, allowing readers to develop a physical understanding of quantum mechanical systems. The methods of operator theory are discussed throughout the book and presented with a mathematically rigorous approach. The author describes in detail how to use the methods of operator theory for analyzing quantum mechanical systems, starting with the definition of the involved physical operators (observables) up to the calculation of their spectra, spectral measures, and functional calculus. In addition, the book includes the construction of exponential functions of the involved Hamilton operators that solve the problem of time evolution. 0aQuantum physics.966608 0aMathematical physics. 0aOperator theory.14aQuantum Physics.96660824aMathematical Physics.24aMathematical Methods in Physics.97087724aOperator Theory.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303149077408iPrinted edition:z978303149079808iPrinted edition:z9783031490804 0aSynthesis Lectures on Engineering, Science, and Technology,x2690-032740uhttps://doi.org/10.1007/978-3-031-49078-1  aZDB-2-SXSC  c58948d58948