{"product_id":"molecules-in-electromagnetic-fields-9781118173619","title":"Molecules in Electromagnetic Fields","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eA tutorial for calculating the response of molecules to electric and magnetic fields with examples from research in ultracold physics, controlled chemistry, and molecular collisions in fields\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eMolecules in Electromagnetic Fields\u003c\/i\u003e is intended to serve as a tutorial for students beginning research, theoretical or experimental, in an area related to molecular physics. The authora noted expert in the fieldoffers a systematic discussion of the effects of static and dynamic electric and magnetic fields on the rotational, fine, and hyperfine structure of molecules. The book illustrates how the concepts developed in ultracold physics research have led to what may be the beginning of controlled chemistry in the fully quantum regime. Offering a glimpse of the current state of the art research, this book suggests future research avenues for ultracold chemistry.\u003c\/p\u003e \u003cp\u003eThe text describes theories needed to understand recent exciting developments in the research on trapping mo\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eList of Figures xiii\u003c\/p\u003e \u003cp\u003eList of Tables xxv\u003c\/p\u003e \u003cp\u003ePreface xxvii\u003c\/p\u003e \u003cp\u003eAcknowledgments xxxi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction to Rotational, Fine, and Hyperfine Structure of Molecular Radicals 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Why Molecules are Complex 1\u003c\/p\u003e \u003cp\u003e1.2 Separation of Scales 3\u003c\/p\u003e \u003cp\u003e1.2.1 Electronic Energy 5\u003c\/p\u003e \u003cp\u003e1.2.2 Vibrational Energy 10\u003c\/p\u003e \u003cp\u003e1.2.3 Rotational and Fine Structure 14\u003c\/p\u003e \u003cp\u003e1.3 Rotation of a Molecule 17\u003c\/p\u003e \u003cp\u003e1.4 Hund’s Cases 21\u003c\/p\u003e \u003cp\u003e1.4.1 Hund’s Coupling Case (a) 21\u003c\/p\u003e \u003cp\u003e1.4.2 Hund’s Coupling Case (b) 22\u003c\/p\u003e \u003cp\u003e1.4.3 Hund’s Coupling Case (c) 23\u003c\/p\u003e \u003cp\u003e1.5 Parity of Molecular States 23\u003c\/p\u003e \u003cp\u003e1.6 General Notation for Molecular States 27\u003c\/p\u003e \u003cp\u003e1.7 Hyperfine Structure of Molecules 28\u003c\/p\u003e \u003cp\u003e1.7.1 Magnetic Interactions with Nuclei 28\u003c\/p\u003e \u003cp\u003e1.7.2 Fermi Contact Interaction 29\u003c\/p\u003e \u003cp\u003e1.7.3 Long-Range Magnetic Dipole Interaction 30\u003c\/p\u003e \u003cp\u003e1.7.4 Electric Quadrupole Hyperfine Interaction 31\u003c\/p\u003e \u003cp\u003eExercises 31\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 DCStarkEffect 35\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Electric Field Perturbations 35\u003c\/p\u003e \u003cp\u003e2.2 Electric Dipole Moment 37\u003c\/p\u003e \u003cp\u003e2.3 Linear and Quadratic Stark Shifts 40\u003c\/p\u003e \u003cp\u003e2.4 Stark Shifts of Rotational Levels 42\u003c\/p\u003e \u003cp\u003e2.4.1 Molecules in a 1Σ Electronic State 42\u003c\/p\u003e \u003cp\u003e2.4.2 Molecules in a 2Σ Electronic State 46\u003c\/p\u003e \u003cp\u003e2.4.3 Molecules in a 3Σ Electronic State 48\u003c\/p\u003e \u003cp\u003e2.4.4 Molecules in a 1Π Electronic State – Λ-Doubling 51\u003c\/p\u003e \u003cp\u003e2.4.5 Molecules in a 2Π Electronic State 54\u003c\/p\u003e \u003cp\u003eExercises 56\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Zeeman Effect 59\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 The Electron Spin 59\u003c\/p\u003e \u003cp\u003e3.1.1 The Dirac Equation 60\u003c\/p\u003e \u003cp\u003e3.2 Zeeman Energy of a Moving Electron 63\u003c\/p\u003e \u003cp\u003e3.3 Magnetic Dipole Moment 64\u003c\/p\u003e \u003cp\u003e3.4 Zeeman Operator in the Molecule-Fixed Frame 66\u003c\/p\u003e \u003cp\u003e3.5 Zeeman Shifts of Rotational Levels 67\u003c\/p\u003e \u003cp\u003e3.5.1 Molecules in a 2Σ State 67\u003c\/p\u003e \u003cp\u003e3.5.2 Molecules in a 2Π Electronic State 71\u003c\/p\u003e \u003cp\u003e3.5.3 Isolated Σ States 74\u003c\/p\u003e \u003cp\u003e3.6 Nuclear Zeeman Effect 75\u003c\/p\u003e \u003cp\u003e3.6.1 Zeeman Effect in a 1Σ Molecule 76\u003c\/p\u003e \u003cp\u003eExercises 78\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 ACStarkEffect 81\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Periodic Hamiltonians 82\u003c\/p\u003e \u003cp\u003e4.2 The Floquet Theory 84\u003c\/p\u003e \u003cp\u003e4.2.1 Floquet Matrix 88\u003c\/p\u003e \u003cp\u003e4.2.2 Time Evolution Operator 89\u003c\/p\u003e \u003cp\u003e4.2.3 Brief Summary of Floquet Theory Results 90\u003c\/p\u003e \u003cp\u003e4.3 Two-Mode Floquet Theory 92\u003c\/p\u003e \u003cp\u003e4.4 RotatingWave Approximation 94\u003c\/p\u003e \u003cp\u003e4.5 Dynamic Dipole Polarizability 96\u003c\/p\u003e \u003cp\u003e4.5.1 Polarizability Tensor 97\u003c\/p\u003e \u003cp\u003e4.5.2 Dipole Polarizability of a DiatomicMolecule 99\u003c\/p\u003e \u003cp\u003e4.5.3 Rotational vs Vibrational vs Electronic Polarizability 101\u003c\/p\u003e \u003cp\u003e4.6 Molecules in an Off-Resonant Laser Field 104\u003c\/p\u003e \u003cp\u003e4.7 Molecules in a Microwave Field 107\u003c\/p\u003e \u003cp\u003e4.8 Molecules in a Quantized Field 109\u003c\/p\u003e \u003cp\u003e4.8.1 Field Quantization 109\u003c\/p\u003e \u003cp\u003e4.8.2 Interaction of Molecules with Quantized Field 116\u003c\/p\u003e \u003cp\u003e4.8.3 Quantized Field vs Floquet Theory 117\u003c\/p\u003e \u003cp\u003eExercises 118\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Molecular Rotations Under Control 121\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Orientation and Alignment 122\u003c\/p\u003e \u003cp\u003e5.1.1 OrientingMolecular Axis in Laboratory Frame 123\u003c\/p\u003e \u003cp\u003e5.1.2 Quantum Pendulum 126\u003c\/p\u003e \u003cp\u003e5.1.3 Pendular States of Molecules 129\u003c\/p\u003e \u003cp\u003e5.1.4 Alignment of Molecules by Intense Laser Fields 131\u003c\/p\u003e \u003cp\u003e5.2 Molecular Centrifuge 136\u003c\/p\u003e \u003cp\u003e5.3 OrientingMolecules Matters –Which Side Chemistry 140\u003c\/p\u003e \u003cp\u003e5.4 Conclusion 142\u003c\/p\u003e \u003cp\u003eExercises 142\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 External Field Traps 145\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Deflection and Focusing of Molecular Beams 146\u003c\/p\u003e \u003cp\u003e6.2 Electric (and Magnetic) Slowing of Molecular Beams 151\u003c\/p\u003e \u003cp\u003e6.3 Earnshaw’sTheorem 155\u003c\/p\u003e \u003cp\u003e6.4 Electric Traps 158\u003c\/p\u003e \u003cp\u003e6.5 Magnetic Traps 162\u003c\/p\u003e \u003cp\u003e6.6 Optical Dipole Trap 165\u003c\/p\u003e \u003cp\u003e6.7 Microwave Trap 167\u003c\/p\u003e \u003cp\u003e6.8 Optical Lattices 168\u003c\/p\u003e \u003cp\u003e6.9 Some Applications of External Field Traps 171\u003c\/p\u003e \u003cp\u003eExercises 173\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Molecules in Superimposed Fields 175\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Effects of Combined DC Electric andMagnetic Fields 175\u003c\/p\u003e \u003cp\u003e7.1.1 Linear Stark Effect at Low Fields 175\u003c\/p\u003e \u003cp\u003e7.1.2 Imaging of Radio-Frequency Fields 178\u003c\/p\u003e \u003cp\u003e7.2 Effects of Combined DC and AC Electric Fields 181\u003c\/p\u003e \u003cp\u003e7.2.1 Enhancement of Orientation by Laser Fields 181\u003c\/p\u003e \u003cp\u003e7.2.2 Tug ofWar Between DC and Microwave Fields 182\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Molecular Collisions in External Fields 187\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Coupled-ChannelTheory of Molecular Collisions 188\u003c\/p\u003e \u003cp\u003e8.1.1 A Very General Formulation 188\u003c\/p\u003e \u003cp\u003e8.1.2 Boundary Conditions 191\u003c\/p\u003e \u003cp\u003e8.1.3 Scattering Amplitude 194\u003c\/p\u003e \u003cp\u003e8.1.4 Scattering Cross Section 197\u003c\/p\u003e \u003cp\u003e8.1.5 Scattering of Identical Molecules 200\u003c\/p\u003e \u003cp\u003e8.1.6 Numerical Integration of Coupled-Channel Equations 204\u003c\/p\u003e \u003cp\u003e8.2 Interactions with External Fields 208\u003c\/p\u003e \u003cp\u003e8.2.1 Coupled-Channel Equations in Arbitrary Basis 208\u003c\/p\u003e \u003cp\u003e8.2.2 External Field Couplings 209\u003c\/p\u003e \u003cp\u003e8.3 The Arthurs–Dalgarno Representation 211\u003c\/p\u003e \u003cp\u003e8.4 Scattering Rates 214\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Matrix Elements of Collision Hamiltonians 217\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Wigner–EckartTheorem 218\u003c\/p\u003e \u003cp\u003e9.2 Spherical Tensor Contraction 220\u003c\/p\u003e \u003cp\u003e9.3 Collisions in a Magnetic Field 221\u003c\/p\u003e \u003cp\u003e9.3.1 Collisions of 1S-Atoms with 2Σ-Molecules 221\u003c\/p\u003e \u003cp\u003e9.3.2 Collisions of 1S-Atoms with 3Σ-Molecules 225\u003c\/p\u003e \u003cp\u003e9.4 Collisions in an Electric Field 229\u003c\/p\u003e \u003cp\u003e9.4.1 Collisions of 2Π Molecules with 1S Atoms 229\u003c\/p\u003e \u003cp\u003e9.5 Atom–Molecule Collisions in a Microwave Field 232\u003c\/p\u003e \u003cp\u003e9.6 Total Angular Momentum Representation for Collisions in Fields 234\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Field-Induced Scattering Resonances 239\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Feshbach vs Shape Resonances 239\u003c\/p\u003e \u003cp\u003e10.2 The Green’s Operator in Scattering Theory 242\u003c\/p\u003e \u003cp\u003e10.3 Feshbach Projection Operators 243\u003c\/p\u003e \u003cp\u003e10.4 Resonant Scattering 246\u003c\/p\u003e \u003cp\u003e10.5 Calculation of Resonance Locations andWidths 249\u003c\/p\u003e \u003cp\u003e10.5.1 Single Open Channel 249\u003c\/p\u003e \u003cp\u003e10.5.2 Multiple Open Channels 249\u003c\/p\u003e \u003cp\u003e10.6 Locating Field-Induced Resonances 252\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Field Control of Molecular Collisions 257\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Why to Control Molecular Collisions 257\u003c\/p\u003e \u003cp\u003e11.2 Molecular Collisions are Difficult to Control 259\u003c\/p\u003e \u003cp\u003e11.3 General Mechanisms for External Field Control 261\u003c\/p\u003e \u003cp\u003e11.4 Resonant Scattering 261\u003c\/p\u003e \u003cp\u003e11.5 Zeeman and Stark Relaxation at Zero Collision Energy 264\u003c\/p\u003e \u003cp\u003e11.6 Effect of Parity Breaking in Combined Fields 269\u003c\/p\u003e \u003cp\u003e11.7 Differential Scattering in Electromagnetic Fields 271\u003c\/p\u003e \u003cp\u003e11.8 Collisions in Restricted Geometries 272\u003c\/p\u003e \u003cp\u003e11.8.1 Threshold Scattering of Molecules in Two Dimensions 276\u003c\/p\u003e \u003cp\u003e11.8.2 Collisions in a Quasi-Two-Dimensional Geometry 280\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Ultracold Controlled Chemistry 283\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Can Chemistry Happen at Zero Kelvin? 284\u003c\/p\u003e \u003cp\u003e12.2 Ultracold Stereodynamics 287\u003c\/p\u003e \u003cp\u003e12.3 Molecular Beams Under Control 289\u003c\/p\u003e \u003cp\u003e12.4 Reactions in Magnetic Traps 289\u003c\/p\u003e \u003cp\u003e12.5 Ultracold Chemistry – The Why and What’s Next? 291\u003c\/p\u003e \u003cp\u003e12.5.1 Practical Importance of Ultracold Chemistry? 291\u003c\/p\u003e \u003cp\u003e12.5.2 Fundamental Importance of Ultracold Controlled Chemistry 293\u003c\/p\u003e \u003cp\u003e12.5.3 A Brief Outlook 294\u003c\/p\u003e \u003cp\u003eA Unit Conversion Factors 297\u003c\/p\u003e \u003cp\u003eB Addition of AngularMomenta 299\u003c\/p\u003e \u003cp\u003eB.1 The Clebsch–Gordan Coefficients 301\u003c\/p\u003e \u003cp\u003eB.2 TheWigner 3j-Symbols 303\u003c\/p\u003e \u003cp\u003eB.3 The Raising and Lowering Operators 304\u003c\/p\u003e \u003cp\u003eC Direction Cosine Matrix 307\u003c\/p\u003e \u003cp\u003eD Wigner D-Functions 309\u003c\/p\u003e \u003cp\u003eD.1 Matrix elements involving D-functions 311\u003c\/p\u003e \u003cp\u003eE Spherical tensors 315\u003c\/p\u003e \u003cp\u003eE.1 Scalar and Vector Products of Vectors in Spherical Basis 317\u003c\/p\u003e \u003cp\u003eE.2 Scalar and Tensor Products of Spherical Tensors 318\u003c\/p\u003e \u003cp\u003eReferences 321\u003c\/p\u003e \u003cp\u003eIndex 347\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406839095639,"sku":"9781118173619","price":107.06,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118173619.jpg?v=1730497296","url":"https:\/\/bookcurl.com\/products\/molecules-in-electromagnetic-fields-9781118173619","provider":"Book Curl","version":"1.0","type":"link"}