*Bose-Hubbard_model* http://en.wikipedia.org/wiki/Bose-Hubbard_model interacting many-body systems<http://www.bw-grid.de/en/projects/2011/03/09/complex-dynamics-of-interacting-many-body-systems/>
If you are a stickler for detail, the Bose–Hubbard model gives an approximate description of the physics of interacting bosons on a lattice. It is closely related to the Hubbard model which originated in solid-state physics as an approximate description of superconducting systems and the motion of electrons between the atoms of a crystalline solid. The name Bose refers to the fact that the particles in the system are bosonic. Remember that the dipole is a boson with spin 1. This model is the same one that is used for cold atoms confined in an optical lattice (aka cooled by a laser) with appropriate theoretical adjustments. Since dipoles and super cooled atoms follow the same model, they behave alike in important ways; they can both form Bose-Einstein condensates. Let us now roll in another quantum optics model: The Jaynes–Cummings model. <http://en.wikipedia.org/wiki/File:Jaynes-Cummings_model.png> http://en.wikipedia.org/wiki/Jaynes%E2%80%93Cummings_model Starting at the very bottom, the most basic underlying model that teaches us how waves/particles can resonate is the Jaynes–Cummings model (JCM). It describes the system of a two-level atom interacting with a quantized mode of an optical cavity, with or without the presence of light (in the form of a bath of electromagnetic radiation that can cause spontaneous emission and absorption). <http://upload.wikimedia.org/wikipedia/commons/7/71/Jaynes-Cummings-Hubbard_Model.jpg> *Jaynes-Cummings-Hubbard (JCH) model* Next we move on to the Jaynes-Cummings-Hubbard (JCH) model. Because there are millions of these hot-spots covering the combined surfaces of all the micro-particles, the JCH model is a combination of the Jaynes–Cummings model and the coupled cavities. The one-dimensional JCH model consists of a chain of N-coupled single-mode cavities and each cavity contains two-level atoms. The tunneling effect comes from the junction between cavities which are an analogy of the Josephson Effect. The eigenstates of the JCH Hamiltonian in the two-excitation subspace for the N-cavity system are examined in current nano research. This research focuses on the existence of bound states as well as their features. It is interesting to note that two repulsive bosonic atoms can form a bound pair in an optical lattice. By analogy, the same will be true for polaritons. The JCH Hamiltonian also supports two-polariton bound states when the photon-atom interaction is sufficiently strong. In the LENR case, the coupling between photons and dipoles are very strong. In particular, the two polaritons associated with the bound states exhibit a strong correlation such that they stay close to each other in position space. The results discussed have been published in "Two-polariton bound states in the Jaynes-Cummings-Hubbard model". http://arxiv.org/pdf/1101.1366v1 If you’re up to it, the analytic solution of the eigenvalues and eigenvectors in the strong coupling regime is also developed in this paper. The time evolution of such a system is also considered for the cases of different initial conditions. *Bose-Einstein condensation* Now that we have justified the development of a generalized condition of Bose-Einstein condensation all over the surfaces of the micro-particles, we can now roll in Kim’s BEC theory of LENR. But unlike the condensate in Kims theory, this BEC is a plexciton condensate. A new state of light-matter emerges upon plexciton condensation, and a coherent radiation field emanates from this quantum phase transition The effective plexciton temperature T and chemical potential μ to be T= 2640 K and μ= -160 meV The fission/fusion probability cross section produced by the ionic BEC is intensified by the screening effects of all the electrons around this ionic condensate in the walls of the NAE. This screening effect is amplified because the electron members of the dipole are coherent and entangled. This large electron composite waveform presents a single screening waveform to the associated mirrored ionic condensate. In Nanoplasmonics, this type of BEC is the so-called spaser (short for surface plasmon(SP) amplification by stimulated emission of radiation) On Sat, Jul 27, 2013 at 8:40 PM, David Roberson <dlrober...@aol.com> wrote: > Axil, perhaps the dipole oscillation that you mention results in the > generation of a local magnetic field. Unfortunately, one single source of > this type would not generate a large external field of the nature that DGT > suggests. The only way this would happen is if an extremely large > coordinated combination of individual fields are super imposed. Normally, > these individual fields want to be arranged such that the net external > field is minimized for the least energy configuration. How do you > propose that the coordination is realized? What force aligns the > individual tiny fields? This is where I find it difficult to understand. > > There are numerous missing pieces to the puzzle which need to be found. > It has been suggested that a large circulating current of some nature > would lead to a large external field and that would follow according to > classical physics. But, in that case the source of the large current is > unknown. So, either of these cases has difficult questions to answer. It > would be most helpful if DGT supplies additional information concerning the > alleged field. > > Dave > > > -----Original Message----- > From: Axil Axil <janap...@gmail.com> > To: vortex-l <vortex-l@eskimo.com> > Sent: Sat, Jul 27, 2013 3:04 am > Subject: Re: [Vo]:Defkalion/MFMP implications for electrolysis? > > Follow vorts > > When a dipole composed of an oscillation of electron and an ion > encounters a boundary cndition, a ring like circulation of current is > induced in the motion of the electron. > > Does that revelation help you understand anything about the production > of a large magnetic field? Well it should. > > > > On Sat, Jul 27, 2013 at 1:21 AM, David Roberson <dlrober...@aol.com>wrote: > >> My recent way of thinking suggests that heat energy is just random sound. >> If some way is found to direct the movements of the atoms in a coordinated >> manner, then that would look very much like a sound wave passing through >> the medium. I bet we could figure out how much the effective temperature >> of that wave is by the speed change of the atoms subjected to that signal. >> Double the instantaneous velocity of the atoms and you multiply the >> instantaneous energy by a factor of 4. This is like heating up the >> material a large amount. >> >> Since heat is apparently what makes Rossi's ECAT function, then this >> type of sound wave traveling through it should do something similar. At >> least that is the concept. >> >> Heat appears to equal sound with a random momentum vector that balances >> out over the entire mass of material while still having energy due to the >> motion of the atoms. The energy always adds regardless of the direction of >> the motion, while the momentum is a vector that can balance out. Sound to >> me is just the condition where momentum is directed by some source. That >> is why sound travels rapidly through materials while heat slowly spreads >> out. Give the idea some thought. >> >> Dave >> >> >> -----Original Message----- >> From: Terry Blanton <hohlr...@gmail.com> >> To: vortex-l <vortex-l@eskimo.com> >> Sent: Sat, Jul 27, 2013 12:59 am >> Subject: Re: [Vo]:Defkalion/MFMP implications for electrolysis? >> >> >> >> On Sat, Jul 27, 2013 at 12:55 AM, David Roberson <dlrober...@aol.com>wrote: >> >> >>> It just might be possible for sound waves alone to do the job. >>> >> >> It's not really sound. It's quantized heat energy. When you >> understand that, you realize that spin up and spin down electrons can mate >> if only for a brief period. >> > >
