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The discretized Schrodinger equation and simple models for
The discretized Schrodinger equation and simple models for

... While the relationship between the tight-binding model and the discrete Schrödinger equation has been known for some time for the bulk case, its consequences and implications for the quantum-confined case (e.g., the infinite square well) have been far less well appreciated. This is perhaps due to t ...
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univERsity oF copEnhAGEn

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... where the radius a of the electron cloud is taken to be 0.5 Å. The forces which keep the protons and neutrons bound in the nucleus are very different from and much stronger than the Coulomb forces acting between electric charges. Indeed, neutrons have no charge, and therefore no Coulomb field. Neve ...
Bose-Einstein condensation in interacting gases
Bose-Einstein condensation in interacting gases

... Associée au CNRS (UA 1306) et aux Universités Paris 6 et Paris 7. ...
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Iterative quantum-state transfer along a chain of nuclear spin qubits
Iterative quantum-state transfer along a chain of nuclear spin qubits

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... than one state). If there is any hope of understanding how a system may behave as observer without renouncing the postulate that all systems are equivalent, then the same kind of processes—“collapse”—that happens between an electron and a CERN machine, may also happen between an electron and another ...
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COLD ATOMS AND CREATION OF NEW STATES OF MATTER: BOSE-

... clearly showing the distinctly different modes of expansion of condensate and thermal cloud. We further give two examples of wave guides for atomic de Broglie matter waves. One structure, the Kapitza wave guide, uses the interaction between an electrically polarizable atom and a charged wire. For st ...
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... The purpose of this work is to introduce the concept of geometric phase and to describe different variants for quantum systems which are in a pure or mixed state. This work is divided into 5 parts. A preliminary section is intended to prepare the reader for the mathematical concepts and reasoning im ...
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On quantum obfuscation - University of Maryland Institute for

... modern study of theoretical cryptography appears to be in the famous paper of Diffie and Hellman [17]. There, it was suggested that public-key cryptosystems might be constructible via obfuscation of privatekey schemes; this was viewed as a reasonable possibility because writing code in an obfuscated ...
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... system exactly. We simply insert the potential V and solve for the wave function ψ and the energy E. Unfortunately, there are very few potentials, such as the infinite square well or the Coulomb potential of the hydrogen atom, for which a simple exact solution exists. In order to make any further pr ...
Entangling Photons via Four-Wave Mixing in a Rubidium Vapor Cell
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... We investigate electromagnetically induced transparency (EIT) and four-wave mixing (FWM) as mechanisms to generate entangled optical fields. Entanglement is a central concept of quantum mechanics, and holds promise for a variety of applications, including the realization of quantum cryptography and ...
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Quantum Reflection at Strong Magnetic Fields

... to modify the propagation of (real) light fields through vacuum. In 1936, W. Heisenberg and his PhD student H. Euler published a generalization of the Maxwell Lagrangian which is now known as the Heisenberg-Euler Lagrangian [3]. It describes the nonlinear dynamics of slowly varying electromagnetic f ...
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strong interactions of hadrons at high energies - Assets

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Introduction to Supersymmetry

... the Feynman rules for the propagator of a Ψ and Ψc line are identical. Construction of invariant amplitudes involving Majorana fermions When computing an invariant amplitude, one first writes down the relevant Feynman diagrams with no arrows on any Majorana fermion line. The number of distinct graphs ...
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Comment on “Non-representative Quantum Mechanical Weak Values”

... where g is the (time-integrated) coupling constant, S is the operator whose weak value we wish to measure and PM is the conjugate momentum to the measuring device. Svensson’s procedure for producing a weak measurement entails taking the coupling constant g to the limit g → 0. This approach is differ ...
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Read State-of-the-art Report (pdf file) - FB3

... hinted by Bennett [12], any forward computation (or execution) can be transformed into a reversible one by just keeping an history of all the information overwritten and hence lost (for example a variable update) by the forward computation, and then use this information to reverse (or undo) the forw ...
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Reading list for Advanced Philosophy of Physics: the

... organising it doubtless betrays various philosophical prejudices. (One prejudice that I’m aware of: the list errs towards a non-historical approach. The review article by Uffink, below, is a good starting point for those who want to engage with the historical development of the subject.) Whenever I ...
Chapter 3: Quantum Physics - Farmingdale State College
Chapter 3: Quantum Physics - Farmingdale State College

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pages 851-900 - Light and Matter

... numbers of photons: four photons in figure i/3, for example. A wrong interpretation: photons interfering with each other One possible interpretation of wave-particle duality that occurred to physicists early in the game was that perhaps the interference effects came from photons interacting with eac ...
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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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