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Electron-positron pair production in space- or time
Electron-positron pair production in space- or time

... The creation of electron-positron pairs from the vacuum by an external uniform electric field in spacetime was first studied by Sauter [1] as a quantum tunneling process. Heisenberg and Euler [2] extended his result by calculating an effective Lagrangian from the Dirac theory for electrons in a cons ...
High Performance Quantum Computing
High Performance Quantum Computing

... able f : {0, 1} → {0, 1} is balanced or constant. Classically one has to make▪twoClassically function calls and determine f (0) calls and f (1) to decide since we need= f(1)? two function are needed: f(0) whether f (0) = f (1). Equivalently we can calculate f (0) ⊕ f (1), where ⊕ nary addition modul ...
PPT - Fernando Brandao
PPT - Fernando Brandao

... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses {  1 ,  2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
The Joint Distribution For A Brownian Motion And Its Maximum And
The Joint Distribution For A Brownian Motion And Its Maximum And

Strongly correlated phenomena in cavity QED
Strongly correlated phenomena in cavity QED

... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses {  1 ,  2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
Grid Enabled Molecular Dynamics: classical and quantum algorithms
Grid Enabled Molecular Dynamics: classical and quantum algorithms

Quantum Physics Quantum Physics Physics
Quantum Physics Quantum Physics Physics

INTRODUCTION TO WAVE PACKETS
INTRODUCTION TO WAVE PACKETS

Quantum and Semiclassical Theories of Chemical Reaction Rates
Quantum and Semiclassical Theories of Chemical Reaction Rates

Mathematics
Mathematics

... Co-ordinate Geometry: Distances between points- Areas of triangles, Co-Ordinates of a point dividing a given segment in a given ratio-Locus-equation to a straight line in different forms-Angle between straight lines – Point of intersection. UNIT IV Differential Calculus: Continuity and limit, Differ ...
Dirac multimode ket-bra operators` [equation]
Dirac multimode ket-bra operators` [equation]

Classical Field Theory: Electrostatics
Classical Field Theory: Electrostatics

... We have found that Qm (φ) = e imφ , this function forms a complete set of orthogonal functions in the index m on the interval 0 ≤ φ ≤ 2π. The product Plm Qm forms also a complete orthonormal set on the surface of the unit sphere in the two indices l, m. From the normalization condition (58) we can c ...
Lecture 8 1 The Period Finding Problem 2 The Algorithm
Lecture 8 1 The Period Finding Problem 2 The Algorithm

Exploration of a Method to Image an N 2 Molecular Orbital Using the ATI Spectrum
Exploration of a Method to Image an N 2 Molecular Orbital Using the ATI Spectrum

... wave function solves the Schrödinger equation for an electron in an oscillating electric field.  However,  if the electron is traveling fast enough, and so will escape the range of the Coulomb potential relatively  quickly, this approximation is a decent one.  Since the final state is just a plane  ...
Controlling heat and particle currents in nanodevices
Controlling heat and particle currents in nanodevices

Quantum Physics 2005
Quantum Physics 2005

... • This principle states that you cannot know both the position and momentum of a particle simultaneously to arbitrary accuracy. – There are many approaches to this idea. Here are two. • The act of measuring position requires that the particle intact with a probe, which imparts momentum to the partic ...
Systems of Linear Equations
Systems of Linear Equations

... lines and the solution (if there was one) was where the lines intersected. Graphs of three variable equations are planes. Let’s look at different possibilities. Remember the solution would be where all three planes all intersect. ...
Angular momenta dynamics in magnetic and electric
Angular momenta dynamics in magnetic and electric

... This result raises the following question: how can a quantum state have a preferred direction in an {| plane? We know from quantum angular-momentum theory, that all angular-momentum operator eigenstates are axially symmetric [9]. This is a direct result of the Heisenberg uncertainty relation M} * ...
High Energy Cross Sections by Monte Carlo
High Energy Cross Sections by Monte Carlo

It Must Be Beautiful: Great Equations of Modern Science
It Must Be Beautiful: Great Equations of Modern Science

... from the solidity of a table to the brilliant color of a flame. In quantum mechanical wave equations energy and momentum are expressed by differential operators: ...
Quantum Times
Quantum Times

... variable theory, anything that is a unique function of the ontic state should be regarded as an ontic property of the system, and this applies to the quantum state in a psi-ontic model. The definition of a psi-epistemic model as the negation of this is very weak, e.g. it could still be the case that ...
The concept of the photon—revisited
The concept of the photon—revisited

CHAPTER 16: Quantum Mechanics and the Hydrogen Atom
CHAPTER 16: Quantum Mechanics and the Hydrogen Atom

TWO-STATE SYSTEMS
TWO-STATE SYSTEMS

... It is interesting to notice what has happened to the concept of “physical dimension.” We recognize a physical parameter t with the dimensionality of “time,” which we read from the “clock on the wall,” not from the printed output of a “meter” as here construed: time we are prepared to place in a clas ...
An Effective Quantum Potential for Particle
An Effective Quantum Potential for Particle

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Path integral formulation

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