000799713 000__ 04327cam\a2200517Ki\4500 000799713 001__ 799713 000799713 005__ 20230306143451.0 000799713 006__ m\\\\\o\\d\\\\\\\\ 000799713 007__ cr\un\nnnunnun 000799713 008__ 170906s2017\\\\sz\\\\\\ob\\\\001\0\eng\d 000799713 019__ $$a1003203187$$a1003256023 000799713 020__ $$a9783319660714$$q(electronic book) 000799713 020__ $$a3319660713$$q(electronic book) 000799713 020__ $$z9783319660707 000799713 020__ $$z3319660705 000799713 035__ $$aSP(OCoLC)on1003117545 000799713 035__ $$aSP(OCoLC)1003117545$$z(OCoLC)1003203187$$z(OCoLC)1003256023 000799713 040__ $$aYDX$$beng$$erda$$cYDX$$dN$T$$dEBLCP$$dGW5XE$$dN$T$$dOCLCF 000799713 049__ $$aISEA 000799713 050_4 $$aQC174.17.S9 000799713 08204 $$a539.7/25$$223 000799713 1001_ $$aSchmiedt, Hanno,$$eauthor. 000799713 24510 $$aMolecular symmetry, super-rotation, and semiclassical motion :$$bnew ideas for solving old problems /$$cHanno Schmiedt. 000799713 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2017]. 000799713 264_4 $$c©2017 000799713 300__ $$a1 online resource. 000799713 336__ $$atext$$btxt$$2rdacontent 000799713 337__ $$acomputer$$bc$$2rdamedia 000799713 338__ $$aonline resource$$bcr$$2rdacarrier 000799713 4901_ $$aSpringer series on atomic, optical, and plasma physics,$$x1615-5653 ;$$vVolume 97 000799713 504__ $$aIncludes bibliographical references and index. 000799713 5050_ $$aPreface; Contents; 1 New Ideas for Solving Old Problems -- An Introduction; Part I Group Theory in Molecular Physics; 2 Basic Concepts ; 2.1 Symmetry Groups of the Molecular Hamiltonian; 2.1.1 General Representation Theory; 2.1.2 Lie Groups and Permutation Groups; 2.2 Zero-Order Models in Molecular Theory; 2.2.1 The Separation of the Molecular Hamiltonian; 2.2.2 The Zero-Order Models for Nuclear Motion; 2.3 Connecting Dynamics and Group Theory -- Outlook to This Work; 3 Schur -- Weyl Duality in Molecules; 3.1 Nuclear Spin States in Molecules; 3.1.1 The Natural Way; 3.1.2 Unitary Symmetry 000799713 5058_ $$a3.1.3 Permutation Symmetry3.2 Schur -- Weyl Duality; 3.2.1 Application of the Duality Theorem; 3.3 Conclusion; 4 Reactive Collisions ; 4.1 Representation Theory in Reactions of Small Molecules; 4.1.1 Mathematical Preliminaries; 4.1.2 Single Molecules; 4.1.3 A First Example; 4.2 The H3+ +H2 Reaction; 4.2.1 A Restricted Symmetry Group for the Intermediate Complex; 4.2.2 Implications for Experiments; 4.2.3 The Deuterated Version; 4.3 Discussion; Part II Extremely Floppy Molecules; 5 Introducing Extreme Floppiness; 6 Symmetry Beyond Perturbation Theory 000799713 5058_ $$a6.1 Representation Theory of Molecular Rotation6.1.1 Example: The H3+ ion; 6.2 The Failure of the Subgroup Picture; 6.3 Concluding Remarks; 7 The Molecular Super-Rotor; 7.1 Large Amplitude Motion; 7.2 Super-Rotation; 7.2.1 The Energy Expression; 7.2.2 Degrees of Freedom; 8 Super-Rotor States and Their Symmetry; 8.1 Five-Dimensional Rotor States; 8.1.1 Parity and Dipole Selection Rules; 8.2 Permutation-Inversion Symmetry; 8.2.1 The Permutation Group of Five Identical Particles; 8.3 Conclusion; 9 Protonated Methane; 9.1 The Molecule; 9.2 The Experiment; 9.3 The Model; 9.4 The Discussion 000799713 5058_ $$a10 Refinements and Further Applications10.1 Beyond Zero-Order; 10.1.1 Generalized Moments of Inertia; 10.1.2 Higher-Order Terms; 10.2 Additional Target Molecules; 10.3 Concluding Remarks; Part III Semi-classical Approach to Rotational Dynamics; 11 Ultrafast Rotation ; 11.1 Introduction; 11.2 The Gutzwiller Trace Formula; 11.3 The Rotational Energy Surface; 11.3.1 The Paths on the Rotational Energy Surface; 11.3.2 The Quantization Conditions; 11.3.3 Two Approaches to Generate the Rotational Energy Surface; 12 Application to Sulfur Dioxide; 12.1 The Molecule; 12.2 The Comparison; 13 Discussion 000799713 5058_ $$a13.1 The TROVE -- Generated Rotational Energy Surface13.2 Generalization of the Approach; 14 New Ideas for Solving Old Problems -- A Conclusion; References ; Index 000799713 506__ $$aAccess limited to authorized users. 000799713 588__ $$aDescription based on print version record. 000799713 650_0 $$aSymmetry (Physics) 000799713 650_0 $$aMolecular theory. 000799713 77608 $$iPrint version:$$z9783319660707$$z3319660705$$w(OCoLC)994639540 000799713 830_0 $$aSpringer series on atomic, optical, and plasma physics ;$$v97. 000799713 852__ $$bebk 000799713 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-66071-4$$zOnline Access$$91397441.1 000799713 909CO $$ooai:library.usi.edu:799713$$pGLOBAL_SET 000799713 980__ $$aEBOOK 000799713 980__ $$aBIB 000799713 982__ $$aEbook 000799713 983__ $$aOnline 000799713 994__ $$a92$$bISE