nike sale SSH Hubbard model extended matrix _1593

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SSH Hubbard model extended matrix of lattice vibration

> I (day) a (days) = Σ a ΣX a {rX a, × (home Ih + x a)) Σ (also + +) + Σ () (8) (8) where,, s are indicators of electronic states and spin index. n a 1,2. _ ·,[link widoczny dla zalogowanych], N (N is the chain number of grid points.) Σ that the sum of the electron occupying state. Now consider the system under a perturbation, and even if too ~ too + her. {Here also) before the lattice is unperturbed configuration, {drunk. } Is the static configuration of a small offset. Disturbance in the lattice configuration, the chain of cause changes in the electronic distribution of the number of electrons X. . . Small shifts in the corresponding place. After a lengthy re-calculation of the energy of the resulting system corresponding to ({vertebral)) a + + Σ Σ both blood + professionals. . Mindanao She + Σ (d) (9) where the wind is the ground state energy to the system of nonlinear elementary excitation energy, * one (+2- a) +2 (a 1) '+ Σ (10) · eleven states . one thousand one hundred and eleven + ¨ Shí II | + ¨ (HIH + days】 .. + l + l Sichuan ■ One day a 1)).: ΣΣ_c) rc-canthus). * = larvae (13) (1d) (15 ): z =.(+)+.( Z: I 1. a Z:) (16) for a z: .. (17) expressed in these kinds of non-occupied states of the electron sum. P | is the matrix P's inverse matrix. ... According to system stability requirements, the linear term lattice vibration should be zero, that is all. = 0. It determines the configuration of static excitations of the test {also}} [2] method t be a self-consistent equation for a (1). (Σz:.. z: one by one ΣΣz.z +) (18) Chengdu Institute of Meteorology Volume 3, No. l】 summary and discussion (5), (6) type, (7) and (18) constitute a group of self-consistent equations. on any given initial value {) and {),[link widoczny dla zalogowanych], can be obtained Iterative method the stability of the lattice configuration {) and the corresponding electron spectroscopy, the wave function. Once obtained and the transition function of the electron energy spectrum,[link widoczny dla zalogowanych], according to (1】) ~ (17) calculate the lattice vibration matrix {days ...) and then diagonalizing matrix {..} be All of the lattice vibration frequency and vibration mode. This expression is given in very general results, both for soliton or polaron in the case of other elementary excitations are applied. from the equation (5) can be seen , after taking into account electron interactions, positive and negative spin state can be symmetric, it can be antisymmetric. depending on the specific study elementary excitation conditions. In the case of symmetric positive and negative spin states, all of the above spin index formula can be abolished and replaced by 2, so that all formulas become more concise, particularly the vibration matrix greatly simplified. For example, the charged soliton case, the system topology of the ground state contains a kink,[link widoczny dla zalogowanych], the corresponding boundary conditions require an odd number of grid points to take the ring-chain ..., and then injected into (or remove) an electron, the spin up and down electrons are equal, leading to positive and negative spin state is symmetric while the charged polaron case, the ground state is dimerization, in order to inspire a chain polaron, when the boundary conditions require the chain to take an even grid, and then injected into (or remove) an electron, the spin up and the difference between the number of electrons under one, so the positive and negative spin states are different. included in the electronic interaction between neighboring electronic states of polyacetylene (the number of bound states, energy spectrum) and the lattice vibration (vibration mode of the locality, parity and frequency) of the physical effects and other related work in progress.
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