*L. P. Pitaevskii*

- Published in print:
- 2007
- Published Online:
- May 2008
- ISBN:
- 9780199238873
- eISBN:
- 9780191716652
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199238873.003.0013
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter reviews the Lifshitz equation, which describes the interaction potential of an atom with the surface of a bulk dielectric medium. It shows how to obtain this equation in a more simple ...
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This chapter reviews the Lifshitz equation, which describes the interaction potential of an atom with the surface of a bulk dielectric medium. It shows how to obtain this equation in a more simple and straightforward way compared to the original derivation by E. M. Lifshitz. The key methodological point of the proposed approach is to neglect the retardation effects and evaluate the Green function of the longitudinal light field.Less

This chapter reviews the Lifshitz equation, which describes the interaction potential of an atom with the surface of a bulk dielectric medium. It shows how to obtain this equation in a more simple and straightforward way compared to the original derivation by E. M. Lifshitz. The key methodological point of the proposed approach is to neglect the retardation effects and evaluate the Green function of the longitudinal light field.

*Olle Eriksson, Anders Bergman, Lars Bergqvist, and Johan Hellsvik*

- Published in print:
- 2017
- Published Online:
- May 2017
- ISBN:
- 9780198788669
- eISBN:
- 9780191830747
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788669.003.0004
- Subject:
- Physics, Atomic, Laser, and Optical Physics

From the information obtained in DFT, in particular the magnetic moments and the Heisenberg exchange parameters, one has the possibility to make a connection to atomistic spin-dynamics. In this ...
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From the information obtained in DFT, in particular the magnetic moments and the Heisenberg exchange parameters, one has the possibility to make a connection to atomistic spin-dynamics. In this chapter the essential features of this connection is described. It is also discussed under what length and time-scales that this approach is a relevant approximation. The master equation of atomistic spin-dynamics is derived, and discussed in detail. In addition we give examples of how this equation describes the magnetization dynamics of a few model systems.Less

From the information obtained in DFT, in particular the magnetic moments and the Heisenberg exchange parameters, one has the possibility to make a connection to atomistic spin-dynamics. In this chapter the essential features of this connection is described. It is also discussed under what length and time-scales that this approach is a relevant approximation. The master equation of atomistic spin-dynamics is derived, and discussed in detail. In addition we give examples of how this equation describes the magnetization dynamics of a few model systems.

*J. B. Ketterson*

- Published in print:
- 2016
- Published Online:
- December 2016
- ISBN:
- 9780198742906
- eISBN:
- 9780191821523
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198742906.003.0027
- Subject:
- Physics, Condensed Matter Physics / Materials

Chapter 26 focused on the static and thermodynamic properties of magnetic materials. This chapter extends the discussion to include dynamic, finite frequency, responses generated by external ...
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Chapter 26 focused on the static and thermodynamic properties of magnetic materials. This chapter extends the discussion to include dynamic, finite frequency, responses generated by external microwave fields. It also treats the Bose spin wave excitations which are excited thermally and contribute to the heat capacity. It begins by examining the Landau–Lifshitz equation, which governs the dynamics of spontaneously magnetized materials at the macroscopic level. The remainder of the chapter derives equations for the following: ferromagnetic resonance, magnetic relaxation, spin wave resonance, antiferromagnetic resonance, thermodynamic properties, the microscopic theory of magnons, and micromagnetics. Sample problems are also provided at the end of the chapter.Less

Chapter 26 focused on the static and thermodynamic properties of magnetic materials. This chapter extends the discussion to include dynamic, finite frequency, responses generated by external microwave fields. It also treats the Bose spin wave excitations which are excited thermally and contribute to the heat capacity. It begins by examining the Landau–Lifshitz equation, which governs the dynamics of spontaneously magnetized materials at the macroscopic level. The remainder of the chapter derives equations for the following: ferromagnetic resonance, magnetic relaxation, spin wave resonance, antiferromagnetic resonance, thermodynamic properties, the microscopic theory of magnons, and micromagnetics. Sample problems are also provided at the end of the chapter.