Derricks theorem
WebDerrick's theorem is an argument by physicist G.H. Derrick which shows that stationary localized solutions to a nonlinear wave equation or nonlinear Klein–Gordon … WebDerrick's theorem is an argument due to a physicist G.H. Derrick which shows that stationary localized solutions to a nonlinear wave equation or nonlinear Klein–Gordon equation in …
Derricks theorem
Did you know?
Derrick's theorem is an argument by physicist G. H. Derrick which shows that stationary localized solutions to a nonlinear wave equation or nonlinear Klein–Gordon equation in spatial dimensions three and higher are unstable. See more Derrick's paper, which was considered an obstacle to interpreting soliton-like solutions as particles, contained the following physical argument about non-existence of stable localized stationary solutions to … See more Derrick describes some possible ways out of this difficulty, including the conjecture that Elementary particles might correspond to stable, localized solutions which are periodic in time, rather than time-independent. Indeed, it was later shown that a time … See more We may write the equation $${\displaystyle \partial _{t}^{2}u=\nabla ^{2}u-{\frac {1}{2}}f'(u)}$$ in the Hamiltonian form See more A stronger statement, linear (or exponential) instability of localized stationary solutions to the nonlinear wave equation (in any spatial dimension) is proved by P. … See more • Orbital stability • Pokhozhaev's identity • Vakhitov–Kolokolov stability criterion See more WebTheorem 2.1. Suppose the function f(x, y) in (1.1) is defined in the region B given by (1.2). // in addition f(x, y) =0 in B' and f(x, y) is nondecreasing in both x and y in B', then there exists a solution of the initial value problem (1.1) to the right of x = x0. Proof.
WebMar 20, 2024 · A recent analysis by one of the authors [L. Perivolaropoulos, Gravitational interactions of finite thickness global topological defects with black holes, Phys. Rev. D 97, 124035 (2024).] has pointed out that Derrick's theorem can be evaded in curved space. Here we extend that analysis by demonstrating the existence of a static metastable … http://export.arxiv.org/pdf/1907.10616
WebJun 3, 2013 · These objects have to obey Derrick’s theorem , which says that in bulk three-dimensional fields, the configuration can always lower its energy by shrinking. The object generated in Chen et al.’s experiment somehow circumvents this theorem: Once created, the Hopf fibration is stable and doesn’t change size. One possibility is that the ... WebJun 4, 2024 · Derrick’s theorem [1] constitutes one of the most im-portant results on localised solutions of the Klein-Gordon in Minkowski spacetime. The theorem was developed originally as an attempt to build a model for non point-like elementary particles [2, 3] based on the now well known concept of “quasi-particle”. Wheeler was the first
WebDerrick’s theorem: one may rule out the existence of localized inhomoge-neous stable field configurations (solitons) by inspecting the Hamiltonian and making scaling …
WebDerricks Theorem for D= 2 and 3. Related. 3. Mills' Ratio for Gaussian Q Function. 3. Evaluating the time average over energy. 14. Non-ellipticity of Yang-Mills equations. 2. The separation of variables in a non-homogenous equation (theory clarification) 0. Operator theory curiosity. 3. ph wallis kurseWebNew integral identities satisfied by topological solitons in a range of classical field theories are presented. They are derived by considering independent length rescalings in orthogonal directions, or equivalently, f… ph wallseeWebI'm going over Coleman's derivation of Derrick's theorem for real scalar fields in the chapter Classical lumps and their quantum descendants from Aspects of Symmetry (page 194). Theorem: Let $... how do you add your phone number to slackWebMay 9, 2016 · However Derrick's No-Go theorem says that in 3 + 1 -dim there is no stable soliton in real scalar field. Therefore my question is what is a particle's classical counterpart in a field theory? If it is a wavepacket, … how do you add your own music to trillerWebDec 28, 2024 · It is well-known that Derrick's theorem can be evaded by including a gauge field or considering a time-dependent solution. A variation of this theorem … ph wallph wallpapersWebJul 26, 2024 · We extend Derrick’s theorem to the case of a generic irrotational curved spacetime adopting a strategy similar to the original proof. We show that a static … how do you address a baroness verbally