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Fluctuations of kinematic quantities in p+p interactions at the CERN
Fluctuations of kinematic quantities in p+p interactions at the CERN

... Very low momentum conservation hill visible at (0, π) on averaged distribution and on multiplicity bins distributions. Quite difficult to observe, because it is masked by: ...
Weyl calculus with respect to the Gaussian measure and L^p
Weyl calculus with respect to the Gaussian measure and L^p

... • ab is the Fourier-Plancherel transform of a, • the unitary operators exp(i(uX + vD)) on L2 (Rd , γ) are defined through the action exp(i(uX + vD))f (x) := exp(iux + 21 iuv )f (v + x) (formally apply the Baker-Campbell-Hausdorff formula and use the commutator relations, or note that it give a unita ...
Energy-Level Diagrams and Their Contribution
Energy-Level Diagrams and Their Contribution

Green Function Techniques in the Treatment of Quantum Transport
Green Function Techniques in the Treatment of Quantum Transport

LHC Theory Lecture 1: Calculation of Scattering Cross Sections
LHC Theory Lecture 1: Calculation of Scattering Cross Sections

What time reversal invariance is and why it matters
What time reversal invariance is and why it matters

... classical electrodynamical world, and if the sequence of dynamical conditions corresponding to Si, …, Sf is Di, …, Df, and if we write the sequence of dynamical conditions corresponding to Sf, …, Si as RDf, …, RDi, then the transformation from Dk to RDk can involve nothing whatsoever other than reve ...
Topics in Ultracold Atomic Gases: Strong Interactions and Quantum
Topics in Ultracold Atomic Gases: Strong Interactions and Quantum

... of several specific systems. We find the Fermi gases across narrow Feshbach resonances are strongly interacting at low temperature even when the magnetic field is several widths away from the resonance. We also discuss an approach to describe the metastable repulsive branch of Bose and Fermi gases a ...
Spin Algebra, Spin Eigenvalues, Pauli Matrices Lecture 10
Spin Algebra, Spin Eigenvalues, Pauli Matrices Lecture 10

... This equation has two solutions: bbot (a) = btop (a) + ~, and bbot (a) = −btop (a). But bbot (a) must be smaller than btop (a), so only the second solution works. Therefore bbot (a) = −btop (a). Hence b, which is the eigenvalue of Sz , ranges from −btop (a) to btop (a). Furthermore, since S− lowers ...
Quantum Mechanics
Quantum Mechanics

Lattice quantum field theory
Lattice quantum field theory

Many Body Physics
Many Body Physics

... ε and ε + dε. Its expression can be easily obtained by noting that the total number of states with an energy lower than ε is given by X L(ε) = θ(ε − εα ) ...
Effective Field Theory
Effective Field Theory

Do we really understand quantum mechanics?
Do we really understand quantum mechanics?

Dynamics of Open Quantum Systems
Dynamics of Open Quantum Systems

... subtleties typically also emerge with other approaches/methods to quantum dissipation; thus it is beneficial to dwell on these in some detail. Important features of the QLE are: • The QLE (2) is an operator equation that acts in the full Hilbert space of system and bath. The coupling between system a ...
Development of semi-classical and quantum tools for the
Development of semi-classical and quantum tools for the

... smaller and faster devices. Therefore, the simulations tools needed to be able, to understand the behavior of emerging electron devices and to improve them, have to be reinvented for each new generation of devices. The International Technology Roadmap for Semiconductors predicts that, in ten years, ...
Contents Syllabus
Contents Syllabus

The Asymptotic Safety Scenario in Quantum Gravity
The Asymptotic Safety Scenario in Quantum Gravity

Spectroscopic Selection Rules: The Role of Photon States
Spectroscopic Selection Rules: The Role of Photon States

Quantum nonlocality
Quantum nonlocality

... •Leibniz: “there are never in nature two exactly similar entities in which one cannot find an internal difference” We all know that two electrons exhibit no internal differences. •In classical physics one can try to “individuate” absolutely identical objects by considering their locations in space a ...
Compendium of Theoretical Physics
Compendium of Theoretical Physics

Interacting Fock spaces: central limit theorems and quantum
Interacting Fock spaces: central limit theorems and quantum

... ii) we are able to construct the approximating sequence of random variables. The main technical tool used to reach such a theorem is given by a special class of interacting Fock spaces (IFS), namely the 1-mode type Free interacting Fock spaces. More precisely, after introducing a new basic operator ...
Singularity of the time-energy uncertainty in adiabatic perturbation
Singularity of the time-energy uncertainty in adiabatic perturbation

... eigenstate would remain in the instantaneous eigenstate of the time-dependent Hamiltonian up to the dynamical and Berry phases11,12. It may seem quite reasonable then that all physical properties in the adiabatic limit should be obtainable from the instantaneous eigenstate. However, this conjecture ...
Mirror QCD and Cosmological Constant
Mirror QCD and Cosmological Constant

... the ground state energy of the universe. In particular, an invisible QCD sector reconstructing Dark Energy was suggested in Refs. [10,43] while a unified description of Dark Matter and Dark Energy originating from invisible QCD dynamics was proposed in Refs. [44,45]. Below, we will demonstrate that ...
Hidden Variables and Nonlocality in Quantum Mechanics
Hidden Variables and Nonlocality in Quantum Mechanics

Product Operator - Vanderbilt Center for Structural Biology
Product Operator - Vanderbilt Center for Structural Biology

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Propagator

In quantum mechanics and quantum field theory, the propagator gives the probability amplitude for a particle to travel from one place to another in a given time, or to travel with a certain energy and momentum. In Feynman diagrams, which calculate the rate of collisions in quantum field theory, virtual particles contribute their propagator to the rate of the scattering event described by the diagram. They also can be viewed as the inverse of the wave operator appropriate to the particle, and are therefore often called Green's functions.
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