Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-06-22
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, 1 figure
Scientific paper
10.1016/0167-2789(94)90115-5
The number state method is used to study soliton bands for three anharmonic quantum lattices: i) The discrete nonlinear Schr\"{o}dinger equation, ii) The Ablowitz-Ladik system, and iii) A fermionic polaron model. Each of these systems is assumed to have $f$-fold translational symmetry in one spatial dimension, where $f$ is the number of freedoms (lattice points). At the second quantum level $(n=2)$ we calculate exact eigenfunctions and energies of pure quantum states, from which we determine binding energy $(E_{\rm b})$, effective mass $(m^{*})$ and maximum group velocity $(V_{\rm m})$ of the soliton bands as functions of the anharmonicity in the limit $f \to \infty$. For arbitrary values of $n$ we have asymptotic expressions for $E_{\rm b}$, $m^{*}$, and $V_{\rm m}$ as functions of the anharmonicity in the limits of large and small anharmonicity. Using these expressions we discuss and describe wave packets of pure eigenstates that correspond to classical solitons.
Eilbeck Chris J.
Gilhøj H.
Scott Andrew C.
No associations
LandOfFree
Quantum Lattice Solitons does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Lattice Solitons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Lattice Solitons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-636190