numerical integration in one dimension

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

... Mathematical Preliminaries this relation: in in (|t|2 + |r|2 − 1)|ψL |2 + (|t |2 + |r |2 − 1)|ψR |2 (2.5) in in in in + (t∗ r + r∗ t )(ψL )∗ ψR + (tr ∗ + rt ∗ )ψL (ψR )∗ ≡ In order for Eq (2.5) ... right-going components with + and the leftgoing components with − Then after a straightforward calculation using Eq (2.3) and replacing r and t with r and t according to Eq (2.6), we obtain a new ... disordered state using the adiabatic theorem This would be quite useful in investigating the physics of offdiagonal disorder in experiments, because only one experiment has been done up to now Lastly,...

Ngày tải lên: 09/09/2015, 08:16

... depth η single-atom cooperativity γ Lieb-Lineger parameter K Luttinger parameter xv Chapter Introduction A one- dimensional (1D) system is typically formed by performing a tight confinement in its ... directly accessing the velocities of the spin and charge waves in the Luttinger liquid We introduce two schemes to simulate the two-component Luttinger liquid dynamics and the spin-charge separation, ... easier to load one- species atoms and to distinguish two outgoing quantum lights with different polarizations In Chapter 6, we show that the interacting relativistic Dirac particles in 1+1 dimensions...

Ngày tải lên: 10/09/2015, 09:26

... Spin-Charge Separation in a Photonic Luttinger Liquid 5.2.2 Two-Component Lieb-Liniger Model and SpinCharge Separation Going beyond the single-component case, the two-component Lieb-Liniger model is ... developments in theory, efforts to observe the separation of the electron into independent 57 Chapter Spin-Charge Separation in a Photonic Luttinger Liquid quasiparticles carrying either spin (spinons) ... photonic component in a polariton Next, as shown in Appendix A, we adiabatically eliminate the fast rotating terms from Eq (3.5) and introduce a stationary combination Ψ = (Ψ+ + Ψ− )/2 In the limit...

Ngày tải lên: 10/09/2015, 09:27

... shifting of level |c, s gs and gss are coupling strengths between the quantum fields and atoms, while δs is a two-photon detuning, and ∆s and ∆ss are one- photon detunings for corresponding transitions ... phase matching mechanism allows us to adiabatically eliminate A, leading to the result A≈ iv∆0 ∂z Ψ v∆ω∆0 + 2πgba nz 121 (A.31) Appendix A Derivation of Nonlinear Evolution Equation for Single-Species ... expression in Eq Appendix B Derivation of Nonlinear Evolution Equation for Two-Species Photons with Different Frequencies B.1 Atomic Operators In the Schrödinger picture, the Hamiltonian describing...

Ngày tải lên: 10/09/2015, 09:27

... provide insight into the photoresponse of NWs, including in the region of interface 1.3 Brief outline of the present work In the present work, we investigated the studies of photocurrent in individual ... Photoconductivity in one- dimensional nanostructures Chapter Photoconductivity in one- dimensional nanostructure 2.1 Introduction With extensive research in the synthesis techniques of various one- dimensional ... photo-generation, carrier and transport including carrier trapping, de-trapping and recombination process Thus, it can be divided into (a) intrinsic: band to band conduction or (b) extrinsic: excitation of electrons...

Ngày tải lên: 16/10/2015, 11:59

... larger than one of TD lattice indicating the specific properties of trapping model (SD) in comparison with hoping model (TD) The result of diffusion coefficient is also presented in figure The ... explained as follows: since the particles hop is unsuccessful, the probability that the particles hop in opposite direction becomes bigger than one in original direction This gives rise to increasing ... square displacement x2n is obtained by averaging over many runs Correlation factor Fy is defined in term of the slope of the dependence x2n vs n BLOCKING EFFECT IN 1D LATTICE 109 Once given a...

Ngày tải lên: 31/10/2015, 10:43

... modulus e Strain F Inviscid flow flux in the x or radial direction G Inviscid flow flux in the y direction H Numerical flux I Interface position L Left eigenvector Length M Total grid points in the ... solid-solid interactions One is front tracking and the other is front capturing In front tracking, the interface is treated as internal moving boundaries Front tracking method is a Lagrangian ... + , −1 in Ω − and on the interface Equation 4.1.1 is solved up to steady state The points near the interface in Ω + use the points in Ω − as the boundary conditions, while the points in Ω − use...

Ngày tải lên: 27/11/2015, 11:12

... 13 Cannon, JR: The one- dimensional heat equation Addison-Wesley Publishing Company, Menlo Park, CA (1984) 14 Miller, RK: Non lineal Volterra Integral Equations W.A Benjamin, Inc., California (1971) ... following compatibility conditions: h(0) = f (0), h(1) = g(0); (2:1) (HC) The function F = F(V,t) verifies the following conditions: (HC1) The function F is defined and continuous in the domain ... hypothesis (H6) holds In order to extend the solution to a maximal interval we can apply the Theorem 2.3 [[14], p 97] Taking into account that function m = m(t,τ), defined in (2.11), verifies also...

Ngày tải lên: 21/06/2014, 02:20

... Communications and Networking for increasing variability of the communication link quality (i.e., for increasing values of ηc ) the performance rapidly degrades For low values of p, for increasing ηc there ... Sastry, “Distributed environmental monitorning using random sensor networks,” in Proceedings of the 2nd International Workshop on Information Processing in Sensor Networks, pp 582–592, Palo Alto, ... decisionlevel information fusion and its application in hybrid image filtering,” in Proceedings of the International Conference on Image Processing (ICIP ’04), vol 1, pp 251–254, Singapore, October...

Ngày tải lên: 21/06/2014, 17:20

... characteristics of one- dimensional VANET from a queuing theoretic perspective, taking into account the effect of channel randomness The presence of fading will result in randomness in the received ... 3) Rician fading: The Rician fading is used to model propagation paths consisting of one strong LOS component and many random weaker components In rural highways, the multipath components may be ... queuing networks has been proposed in [17] Authors of [18] presented connectivity analysis of both one- way and two-way highway scenarios assuming that all vehicles maintain a constant speed In...

Ngày tải lên: 21/06/2014, 17:20

Ngày tải lên: 05/08/2014, 15:20

... Zaragoz´, Using Double-Loop digraphs for solving o a Frobenius’ Problems, ENDM Vol 24 (2006) 17-24 [4] Barvinok, A.I., Polynomial time algorithm for counting integral points in polyhedra when the dimension ... reached in elements with at least two R-classes In a numerical semigroup generated by three integers, these elements are easy to determine Define ca = min{k ∈ N \ {0} | ka ∈ b, N }, cb = min{k ∈ ... of combinatorics 17 (2010), #R138 14 max{3, + ⌊9/3⌋(2 − 3)} = According to [6], in order to calculate this amount, we must compute those elements having more than one R-class In our setting ca...

Ngày tải lên: 08/08/2014, 12:22

Ngày tải lên: 13/11/2014, 10:12

... with integrated daylighting in their offices in Sunnyvale, California in 1983, Lockheed Martin designers successfully increased interaction among their engineers This increase helped improving ... integration for various glazing types, (North zone) By integrating daylight with artificial lighting, increasing the window's area results initially in a noticeable reduction in total energy consumption ... strategies including the integration of daylight with artificial lighting through lighting controls can be used to contribute to energy conservation in office buildings Energy savings due daylight integration...

Ngày tải lên: 05/09/2013, 16:10

... as shown in Figure 19.3 Recording in progress Figure 19.5 Now you can play back your recording, by clicking the Play button, as shown in Figure 19.6 We'll continue working with Audacity in a moment, ... positioning of tracks relative to one another in time Select this tool, then click in a track and drag it to the left or right A handy audio processing tool Its presence directly in the main window ... highlighted in a green line; there are control points at the beginning and end of each track To move a control point, click it and drag it to its new position To add a new point, click anywhere in the...

Ngày tải lên: 18/10/2013, 00:15

... ScriptObject(MissionInfo) {" ) %inInfoBlock = true; Team LRN 643 644 Chapter 23 ■ The Game Client else if( %inInfoBlock && %line $= "};" ) { %inInfoBlock = false; %MissionInfoObject = %MissionInfoObject @ %line; ... according to the matching files it finds in the path indicated by $Server::MissionFileSpec This variable is set in the file C:\koob\control\server\initialize.cs with the following line in the InitializeServer ... the coin scoring and the lap and checkpoint tracking we covered in Chapter 22 The functioning code is available in the Koob installation kit on the CD, if you need help Most of the remaining work...

Ngày tải lên: 24/10/2013, 18:15

... again Almost any sport you can think of can be simulated from this point of view: bullfighting, surfing, rugby, and sailboarding, to name a few One that I would like to see is a mountain-biking ... string Choices: "AL_CONE_INNER_ANGLE" "AL_CONE_OUTER_ANGLE" "AL_LOOPING" "AL_STREAMING" "AL_BUFFER" %looping = alxGetListeneri("AL_LOOPING"); Team LRN 671 672 Appendix A ■ The Torque Game Engine ... String containing a tuple indicating where to place the enumed property in 3D world space (alternative) If "xyz" isn't used, then this is a tuple indicating where to place the audio object in...

Ngày tải lên: 24/10/2013, 18:15