Non-relativistic QED theory of the Van Der Waals dispersion interaction
This book provides details of the calculation of the interaction between two neutral polarizable atoms or molecules using molecular quantum electrodynamics (QED). To better understand the origin of this force, it briefly outlines molecular QED theory, the well-known van der Waals dispersion potentia...
| Main Author: | Salam, Akbar, |
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| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
[2016]
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| Physical Description: |
1 online resource. |
| Series: |
SpringerBriefs in molecular science. Electrical and magnetic properties of atoms, molecules, and clusters.
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| Subjects: |
| Summary: |
This book provides details of the calculation of the interaction between two neutral polarizable atoms or molecules using molecular quantum electrodynamics (QED). To better understand the origin of this force, it briefly outlines molecular QED theory, the well-known van der Waals dispersion potential first evaluated by Casimir and Polder, who accounted for retardation effects. It presents different calculation schemes for the evaluation of the dispersion potential and also discusses energy shifts involving electric quadrupole and octupole moments, along with discriminatory dispersion potentials. Further, it explores in detail non-additive dispersion interaction energies between three-bodies, as well as the effects of higher multipole moment correction terms, and provides results for specific geometries such as collinear and equilateral triangles. Lastly, it computes near and far-zone asymptotic limits for both pair and many-body potentials, with the former shown to agree with less rigorous semi-classical calculations. |
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| Item Description: |
Preface; Acknowledgments; Contents; 1 Introduction; Abstract; 1.1 The Inter-Particle Potential; 1.2 The Born-Oppenheimer Approximation; 1.3 The Interaction Energy at Long-Range; 1.4 Electrostatic Energy; 1.5 Induction Energy; 1.6 Dispersion Energy; 1.7 Photons: Real and Virtual Light Quanta; 1.8 Dispersion Forces Between Macroscopic Objects; 1.9 Different Physical Ways of Understanding the Dispersion Interaction Between Atoms and Molecules; References; 2 Non-relativistic QED; Abstract; 2.1 Classical Mechanics and Electrodynamics. 2.2 Lagrangian for a Charged Particle Coupled to Electromagnetic Radiation2.3 Minimal-Coupling QED Hamiltonian; 2.4 Multipolar-Coupling QED Hamiltonian; 2.5 Perturbative Solution to the QED Hamiltonian; References; 3 Dispersion Interaction Between Two Atoms or Molecules; Abstract; 3.1 Casimir-Polder Potential: Minimal-Coupling Calculation; 3.2 Casimir-Polder Energy Shift: Multipolar Formalism Calculation; 3.3 Asymptotically Limiting Forms; 3.4 Correlation of Fluctuating Electric Dipoles; References; 4 Inclusion of Higher Multipole Moments; Abstract; 4.1 Introduction. 4.2 Generalised Dispersion Energy Shift for Molecules with Arbitrary Electric Multipoles4.3 Electric Dipole-Quadrupole Dispersion Potential; 4.4 Electric Quadrupole-Quadrupole Interaction Energy; 4.5 Electric Dipole-Octupole Energy Shift; 4.6 Electric Dipole-Magnetic Dipole Potential; 4.7 Inclusion of Diamagnetic Coupling; 4.8 Discriminatory Dispersion Potential; References; 5 van der Waals Dispersion Force Between Three Atoms or Molecules; Abstract; 5.1 Introduction; 5.2 Two-Photon Coupling: The Craig-Power Hamiltonian; 5.3 Triple Dipole Dispersion Potential; 5.4 Far- and Near-Zone Limits. 5.5 Equilateral Triangle Geometry5.6 Collinear Arrangement; 5.7 Right-Angled Triangle Configuration; References; 6 Three-Body Dispersion Energy Shift: Contributions from Higher Electric Multipoles; Abstract; 6.1 Introduction; 6.2 Generalised Three-Body Dispersion Potential; 6.3 Dipole-Dipole-Quadrupole Potential; 6.4 Dipole-Quadrupole-Quadrupole Dispersion Energy Shift; 6.5 Dipole-Dipole-Octupole Dispersion Potential; References; Index. Includes bibliographical references and index. This book provides details of the calculation of the interaction between two neutral polarizable atoms or molecules using molecular quantum electrodynamics (QED). To better understand the origin of this force, it briefly outlines molecular QED theory, the well-known van der Waals dispersion potential first evaluated by Casimir and Polder, who accounted for retardation effects. It presents different calculation schemes for the evaluation of the dispersion potential and also discusses energy shifts involving electric quadrupole and octupole moments, along with discriminatory dispersion potentials. Further, it explores in detail non-additive dispersion interaction energies between three-bodies, as well as the effects of higher multipole moment correction terms, and provides results for specific geometries such as collinear and equilateral triangles. Lastly, it computes near and far-zone asymptotic limits for both pair and many-body potentials, with the former shown to agree with less rigorous semi-classical calculations. |
| Physical Description: |
1 online resource. |
| Bibliography: |
Includes bibliographical references and index. |
| ISBN: |
9783319456065 3319456067 |