First integrals and stationary states for quantum Heisenberg spin dynamics

1980 ◽  
Vol 43 (1) ◽  
pp. 350-352 ◽  
Author(s):  
V. V. Anshelevich
Keyword(s):  
Spin Dynamics ◽  
First Integrals ◽  
Stationary States ◽  
Heisenberg Spin

scholarly journals Spin dynamics and disorder effects in theS=12kagome Heisenberg spin-liquid phase of kapellasite

2014 ◽  
Vol 90 (20) ◽  
Author(s):  
E. Kermarrec ◽  
A. Zorko ◽  
F. Bert ◽  
R. H. Colman ◽  
B. Koteswararao ◽  
...  
Keyword(s):  
Liquid Phase ◽  
Spin Dynamics ◽  
Spin Liquid ◽  
Heisenberg Spin ◽  
Disorder Effects

The spin dynamics of (VO)2P2O7: A Heisenberg spin ladder

1997 ◽  
Vol 234-236 ◽  
pp. 544-545 ◽  
Author(s):  
R.S. Eccleston ◽  
M.J. Steiner
Keyword(s):  
Spin Dynamics ◽  
Spin Ladder ◽  
Heisenberg Spin

scholarly journals Symmetry analysis of and first integrals for the continuum Heisenberg spin chain

2002 ◽  
Vol 44 (1) ◽  
pp. 61-72
Author(s):  
M. C. Nucci ◽  
P. G. L. Leach
Keyword(s):  
Differential Equations ◽  
Spin Chain ◽  
Continuum Limit ◽  
Transverse Field ◽  
First Integrals ◽  
Heisenberg Spin ◽  
One Dimensional ◽  
Heisenberg Spin Chain ◽  
The One ◽  
The Continuum

AbstractDaniel et al. [6] analysed the singularity structure of the continuum limit of the one-dimensional anisotropic Heisenberg spin chain in a transverse field and determined the conditions under which the system is nonintegrable and exhibits chaos. We investigate the governing differential equations for symmetries and find the associated first integrals. Our results complement the results of Daniel et al.

Method of first integrals and interface, surface waves

2010 ◽  
Vol 32 (2) ◽  
pp. 107-120
Author(s):  
Pham Chi Vinh ◽  
Trinh Thi Thanh Hue ◽  
Dinh Van Quang ◽  
Nguyen Thi Khanh Linh ◽  
Nguyen Thi Nam
Keyword(s):  
Rayleigh Waves ◽  
Displacement Vector ◽  
Attenuation Factor ◽  
Electrical Potential ◽  
Polarization Vector ◽  
First Integrals ◽  
Dispersion Equations ◽  
Interface Surface ◽  
Electric Induction ◽  
The One

The method of first integrals (MFI) based on the equation of motion for the displacement vector, or  based on the one for the traction vector was introduced  recently in order to find explicit secular equations of Rayleigh waves whose characteristic equations (i.e the equations determining the attenuation factor) are fully quartic or are of higher order (then the classical approach is not applicable). In this paper it is shown that, not only to Rayleigh waves,  the MFI can be applicable also to other waves by running it on the equations for mixed vectors. In particular: (i) By applying the MFI  to the equations for the displacement-traction vector we get the explicit dispersion equations of Stoneley waves in twinned crystals (ii)  Running the MFI on the equations for the traction-electric induction vector and the traction-electrical potential vector provides the explicit dispersion equations of SH-waves in piezoelastic materials. The obtained dispersion equations are identical with the ones previously derived using the method of polarization vector, but the procedure of driving them is more simple.

The Damping Term, from First Principles

2017 ◽  
Author(s):  
Olle Eriksson ◽  
Anders Bergman ◽  
Lars Bergqvist ◽  
Johan Hellsvik
Keyword(s):  
Density Functional Theory ◽  
First Principles ◽  
Density Functional ◽  
Spin Dynamics ◽  
Damping Term ◽  
Functional Theory ◽  
Basic Principles ◽  
Sham Equation ◽  
Damping Parameter ◽  
Simulation Cell

In the previous chapters we described the basic principles of density functional theory, gave examples of how accurate it is to describe static magnetic properties in general, and derived from this basis the master equation for atomistic spin-dynamics; the SLL (or SLLG) equation. However, one term was not described in these chapters, namely the damping parameter. This parameter is a crucial one in the SLL (or SLLG) equation, since it allows for energy and angular momentum to dissipate from the simulation cell. The damping parameter can be evaluated from density functional theory, and the Kohn-Sham equation, and it is possible to determine its value experimentally. This chapter covers in detail the theoretical aspects of how to calculate theoretically the damping parameter. Chapter 8 is focused, among other things, on the experimental detection of the damping, using ferromagnetic resonance.

Sign in / Sign up

Export Citation Format

Share Document