What is the definition of soliton? - Physics Stack Exchange
2016年10月9日 · The definition of soliton may change from author to author. They normally agree that. a soliton must be a non-singular, localized and static and finite energy density solution to non-linear field equations. A localized solution means that the fields approaches the vacuum sufficiently fast such that the energy density is localized in space.
quantum field theory - Physics Stack Exchange
A soliton is a localized, non-dispersive solution of a nonlinear theory in Euclidean space. It certainly is a real object: you have a famous story about a certain John Russell who observed soliton-like waves made by a boat on a river (wikipedia knows everything about it!)
Erik Lentz's faster-than-light soliton - Physics Stack Exchange
1. Lentz's idea was very creative and elegant. He wanted to model the warp bubble formation in plasma as the energy-momentum source within a warp drive background. The theory behind solitons is pretty well documented. There are a lot of models for …
Why are some solitons formed from bosonic fields fermionic?
The soliton is only invariant under the "diagonal group" of the rotations and some internal isospin group. Noether's theorem dictates that the right definition of the spin of the excitations is associated with whatever symmetry we have. In this case we have the diagonal symmetry, so the new conserved angular momentum will be the diagonal one.
field theory - How is the velocity of a soliton defined? - Physics ...
2016年10月31日 · To obtain the soliton solution, one first assumes ϕ ϕ is time-independent so that it satisfies. ∂2ϕ ∂x2 = dV dϕ (2) (2) ∂ 2 ϕ ∂ x 2 = d V d ϕ. and the energy is finite i.e., E <∞ E <∞. For a potential of the form V(ϕ) = μ2 2 ϕ2 + λ 4ϕ4 V (ϕ) = μ 2 2 ϕ 2 + λ 4 ϕ 4, Eq. (2) has the following time-independent, finite ...
field theory - An instanton in $d$ dimensions is often a soliton in …
2021年2月14日 · Basically, topological solitons are stable time-independent localized solutions of equations of motion of your theory with stability protected by topology (they cannot decay into vacuum through radiation of some particles because soliton and vacuum lie in different topological sectors of the theory).
M branes/D branes are solitons? - Physics Stack Exchange
2017年7月25日 · Whether we want to call the Taub-NUT solution a "soliton" I'll leave to the reader to decide. Furthermore, the claim that a D-brane might constitute a "fundamental object" is likewise doubtful - it is an auxiliary object that exists for the fundamental strings to end on, and is not fundamental in original string theory, although nowadays many ...
Soliton solutions of the Gross-Pitaevskii equation
2021年6月20日 · The Gross-Pitaevskii equation admits soliton solutions such as: ψ(x) =ψ0sech(x/ξ), ψ (x) = ψ 0 s e c h (x / ξ), where ξ ξ is the healing length defined by: ξ = ℏ mμ√ ξ = ℏ m μ, with μ μ being the chemical potential. To obtain this solution, one of the boundary conditions is given by assuming that for lengths much greater ...
warp drives - Analogy for Lentz soliton - Physics Stack Exchange
2021年4月26日 · When I search lentz soliton on google, it shows this picture: It is absolutely not intuitive how the the lentz soliton works. In the case of alcubeirre warp drive, it was intuitive that space pushes the drive from behind and pulls from the front. Question: I want an intuitive analogy about how the Lentz Soliton works, if there are any.
bose einstein condensate - Link between integrability and soliton ...
2018年5月14日 · b) Soliton is a type of wave that does not disperse while propagating and localizes. If you define like that, some non-integrable models can also host solitons, e.g. kinks in $\varphi^4$ field. But a more rigorous definition is that the scattering between solitons is elastic, ruling out all the "solitons" in non-integrable models.