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020 _a9783031490781
_9978-3-031-49078-1
024 7 _a10.1007/978-3-031-49078-1
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
100 1 _aBeyer, Horst R.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_974736
245 1 0 _aIntroduction to Quantum Mechanics
_h[electronic resource] :
_bWith a Focus on Physics and Operator Theory /
_cby Horst R. Beyer.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXXIV, 203 p. 29 illus., 18 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
505 0 _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.
520 _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.
650 0 _aQuantum physics.
_966608
650 0 _aMathematical physics.
650 0 _aOperator theory.
650 1 4 _aQuantum Physics.
_966608
650 2 4 _aMathematical Physics.
650 2 4 _aMathematical Methods in Physics.
_970877
650 2 4 _aOperator Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031490774
776 0 8 _iPrinted edition:
_z9783031490798
776 0 8 _iPrinted edition:
_z9783031490804
830 0 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
856 4 0 _uhttps://doi.org/10.1007/978-3-031-49078-1
912 _aZDB-2-SXSC
999 _c58948
_d58948