LEADER 04783nam 22006495 450 001 9910410048103321 005 20230907160935.0 010 $a981-15-2225-1 024 7 $a10.1007/978-981-15-2225-3 035 $a(CKB)4100000010953422 035 $a(DE-He213)978-981-15-2225-3 035 $a(MiAaPQ)EBC6173630 035 $a(PPN)243759835 035 $a(EXLCZ)994100000010953422 100 $a20200410d2020 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Physical Chemistry $ePractical and Intuitive Methodology /$fby Shu Hotta 205 $a2nd ed. 2020. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2020. 215 $a1 online resource (XVIII, 916 p. 144 illus., 54 illus. in color.) 311 $a981-15-2224-3 327 $aPart I: Quantum Mechanics -- 1. Schrödinger Equation and Its Application -- 2. Quantum-Mechanical Harmonic Oscillator -- 3. Hydrogen-Like Atoms -- 4. Optical Transition and Selection Rules -- 5. Approximation Methods of Quantum Mechanics -- 6. Theory of Analytic Functions -- Part II: Electromagnetism -- 7. Maxwell?s Equations -- 8. Reflection and Transmission of Electromagnetic Waves in Dielectric Media -- 9. Light Quanta: Radiation and Absorption -- 10. Introductory Green?s Functions -- Part III: Linear Vector Spaces -- 11. Vectors and Their Transformation -- 12. Canonical Forms of Matrices -- 13. Inner Product Space -- 14. Hermitian Operators and Unitary Operators -- 15. Exponential Functions of Matrices -- Part IV: Group Theory and Its Chemical Applications -- 16. Introductory Group Theory -- 17. Symmetry Groups -- 18. Representation Theory of Groups -- 19. Applications of Group Theory to Physical Chemistry -- 20. Theory of Continuous Groups. 330 $aThe second edition of this book has been extensively revised so that readers can gain ready access to advanced topics of mathematical physics including the theory of analytic functions and continuous groups. This easy accessibility helps to create a deeper and clearer insight into mathematical physics, with emphasis on quantum mechanics and electromagnetism along with the theory of linear vector spaces and group theory. The basic nature of the book remains unchanged. The contents are targeted at graduate and undergraduate students majoring in chemistry to supply them with the practical and intuitive methodology of mathematical physics. In parallel, advanced mathematical topics are dealt with in the last chapters of each of the four individual parts so that a close connection among those topics is highlighted. Several important revisions are found in this second edition, however, and they include: (a) a description of set theory and topology that helps to comprehend the essence of the theory of analytic functions and continuous groups; (b) a deep connection between angular momenta and continuous groups; (c) development of the theory of exponential functions of matrices, which is useful to solve differential equations; and (d) updated content on lasers and their applications. This new edition thus provides a balanced selection of new and basic material for chemists and physicists. . 606 $aChemistry, Physical and theoretical 606 $aPhysics 606 $aPhysical chemistry 606 $aMathematical physics 606 $aTheoretical and Computational Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C25007 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aPhysical Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C21001 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aFísica matemàtica$2thub 606 $aQuímica física$2thub 608 $aLlibres electrònics$2thub 615 0$aChemistry, Physical and theoretical. 615 0$aPhysics. 615 0$aPhysical chemistry. 615 0$aMathematical physics. 615 14$aTheoretical and Computational Chemistry. 615 24$aMathematical Methods in Physics. 615 24$aPhysical Chemistry. 615 24$aMathematical Applications in the Physical Sciences. 615 7$aFísica matemàtica 615 7$aQuímica física 676 $a530.15072 700 $aHotta$b Shu$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768272 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910410048103321 996 $aMathematical Physical Chemistry$91564792 997 $aUNINA