Payman Sheriff

This bestselling graduate quantum mechanics textbook is now available in a re-issued and affordable edition. The text first teaches how to do quantum mechanics, and then provides a more insightful discussion of what it means. The authors avoids the temptation to include every possible relevant topic, instead presenting readers with material that they can easily focus on in a complete treatment with few distractions and diversions. Fundamental principles are covered, quantum theory is presented, and special techniques are developed for attacking realistic problems. The innovative two-part coverage is entertaining and informative, organizing topics under basic theory and assembling an arsenal of approximation schemes with illustrative applications linked closely to the text.

This bestselling undergraduate quantum mechanics textbook is now available in a re-issued and affordable edition. The text first teaches how to do quantum mechanics, and then provides a more insightful discussion of what it means. The authors avoid the temptation to include every possible relevant topic, instead presenting readers with material that they can easily focus on in a complete treatment with few distractions and diversions. Fundamental principles are covered, quantum theory is presented, and special techniques are developed for attacking realistic problems. The innovative two-part coverage is entertaining and informative, organizing topics under basic theory and assembling an arsenal of approximation schemes with illustrative applications linked closely to the text.

The growing progressive movement in the United States finds itself at a historic andpropitious crossroads. With large Republican majorities in both chambers of Congressand an ambitious new president who campaigned and won election on promises of boldchanges-both serving a citizenry that is deeply frustrated with the status quo and desperatefor new leadership at all levels of our society-the potential for true progressive governanceis greater than at any point in decades. Driven by a rising generation of young 18- to29-year-old "Millennial" generation voters whose vast numbers and unique worldviewhave already made a significant impact at the ballot box, our country is embracing manycore progressive values and shows a real commitment to a progressive vision of government, international affairs, and economic and political policies that could transform thecountry in a way that has not been seen since FDR and the New Deal.

- Voter fraud is the "intentional corruption of the electoral process by the voter." This definition coversknowingly and willingly giving false information to establish voter eligibility, and knowingly andwillingly voting illegally or participating in a conspiracy to encourage illegal voting by others. Allother forms of corruption of the electoral process and corruption committed by elected orelection officials, candidates, party organizations, advocacy groups or campaign workers fallunder the wider definition of election fraud.- Voter fraud is extremely rare. At the federal level, records show that only 24 people wereconvicted of or pleaded guilty to illegal voting between 2002 and 2005, an average of eightpeople a year. The available state-level evidence of voter fraud, culled from interviews, reviewsof newspaper coverage and court proceedings, while not definitive, is also negligible.- The lack of evidence of voter fraud is not because of a failure to codify it. It is not as if the states havefailed to detail the ways voters could corrupt elections. There are hundreds of examples drawnfrom state election codes and constitutions that illustrate the precision with which the stateshave criminalized voter and election fraud. If we use the same standards for judging voter fraudcrime rates as we do for other crimes, we must conclude that the lack of evidence of arrests, indictments or convictions for any of the practices defined as voter fraud means very little fraudis being committed.- Most voter fraud allegations turn out to be something other than fraud. A review of news storiesover a recent two year period found that reports of voter fraud were most often limited tolocal races and individual acts and fell into three categories: unsubstantiated or false claims bythe loser of a close race, mischief and administrative or voter error.- The more complex are the rules regulating voter registration and voting, the more likely voter mistakes, clerical errors, and the like will be wrongly identified as "fraud." Voters play a limited role in theelectoral process. Where they interact with the process they confront an array of rules that cantrip them up. In addition, one consequence of expanding voting opportunities, i.e. permissiveabsentee voting systems, is a corresponding increase in opportunities for casting unintentionallyillegal ballots if administrative tracking and auditing systems are flawed.- There is a long history in America of elites using voter fraud allegations to restrict and shape theelectorate. In the late nineteenth century when newly freed black Americans were swept intoelectoral politics, and where blacks were the majority of the electorate, it was the Democratswho were threatened by a loss of power, and it was the Democratic party that erected newrules said to be necessary to respond to alleged fraud by black voters. Today, the success ofvoter registration drives among minorities and low income people in recent years threatensto expand the base of the Democratic party and tip the balance of power away from theRepublicans. Consequently, the use of baseless voter fraud allegations for partisan advantage hasbecome the exclusive domain of Republican party activists

Spatial motion of free quantum particles is described by the Schr dinger wave equation. Typical solutions of this equation show an unlimited growth of the wave packet width. If the particle is illuminated then the scattered light will show the trajectory of the quantum particle. If a single photon of incoming wave number has scattered with the final wave number then the scatterer's wave function obtains a unitary factor. where the scattering angle between incoming wave number and the final wave number, respectively, is distributed according to the modulus square of the scattering amplitude. These processes interrupt the otherwise deterministic evolution of the wave function. We shall assume a certain diffuse light of different wave number. Then the scattering processes will occur randomly at a given rate. To get an easy insight into the resulting stochastic process, we shall assume that the wave length is much bigger than the wave packet width and, furthermore, that the repetition frequency of scatterings is big as compared to the time scale of the free dynamics of the particle. What follows will describe the dynamics of the illuminated particle. The particle's motion is influenced by the random force which is a certain stationary white noise. Hence, the linear stochastic might not be suitable to represent the experienced trajectory of the quantum particle. The jumps of the wave function assumes a particular classification of the photon states. Indeed, the final states as well as the initial ones have been classified according to their momenta. Obviously, trajectories can not be observed via the scattering angles of the photons. They are only observed by identifying the position where the scattered light has emerged. One might think of a lense inserted on the path of each scattered photon, making an optical map of the scatterer particle. Here we introduce the mathematical model of the above set up by the special Fourier transform of the scattering amplitude to present the influence of a single scattering process on the particle's wave function. This jump differs very much from the previous one in a sense that is nonlinear.;In the same approximation that we assumed for the previous process, this nonlinear one leads to the following counterpart of a henomenological equation. To make a formal comparison of this last procedure to the ordinary Schr dinger, The main difference would be the lack of the imaginary factor in the second term as if the random force had become pure imaginary. The third term then comes in just to restore normalization of the wave function. By allowing only one electron to get excited out of the ground state configuration, we might be able to strongly reduce the complexity of solving the Eqation of motion. A suitable way to achieve this goal is by exploiting the configuration interaction language and describing the N-Body wave function in terms of the Hartree-Fock ground state. The Hamiltonian operator is the residual electron-electron interaction, that go beyond the mean-field potential. The vector and dual vector with respect to the symmetric inner product required because of the non-hermiticity of Hamiltonian operator. The dipole interaction between singly-excited configurations reduces to transitions between states of the excited electron and transitions between ionic states. From the full N-Body wave function one can construct the ion density matrix by tracing over the excited electron. The CAP is placed far away from the atom such that an electron so far out does not affect the ion, esp. the ionic states. Therefore, the absorption of an electron by the CAP results only in an artificial loss of norm Spin-Orbit Splitting In order to include the effect of spin-orbit splitting in the occupied orbitals we account for spin-orbit splitting with degenerate-state perturbation theory within the (n, l) orbital manifold. Note: Lajos Diosi

Fock states are interesting examples of non-classical states; They are fragile and lose their non-classicality in time scale. The preparation by projective measurement is random. The crucial part here is to consider: 1 Would it be possible to prepare them in a deterministic way by using a quantum feedback procedure? 2 Can these procedures protect them against quantum jumps? Single atom prepares Schrodinger cat state 1. Coherent field is prepared in C 2. Single atom is prepared in R1 in a super-position of state e and g 3. Atom shifts the field phase in two opposite directions as it pass through C: Super-position leads to entanglement in typical Schr dinger cat Situation. 4. Atomic states mixed again in R2 maintains cat's ambiguity. 5. Detecting atom in e or g projects field into+or- cat state superposition. Phase Shift We choose a small Delta value to get a large phase-shift per photon. The non-linear terms in the expansion of the atom-field states make phase-shift per photon n-dependent Reconstructing Schr dinger cat states by Max Ent Since the measured observables are close to parity, they are almost binary and the Max Ent method applies well. We have to perform the NG= 500 field displacements and measure the expectation values of the corresponding errors affected generalized parity operators with one Phase. Since the measurements do not change n, we use in each realization the information provided by 10 atoms which reduces the number of realizations necessary per displacement. The theoretical curves super-imposed to the experimental peak points are fits obtained with the values of these multipliers. The agreement between the experiments and the fits is quite good.