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Achieving the ultimate optical resolution
Achieving the ultimate optical resolution

... Let us first set the stage for our simplified model. We follow Lord Rayleigh’s lead and assume quasimonochromatic paraxial waves with one specified polarization and one spatial dimension, x denoting the image-plane coordinate. To facilitate possible generalizations, we phrase what follows in a quant ...
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Quantum Physical Symbol Systems

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Structure of Thrmodynamics
Structure of Thrmodynamics

... Some non equilibrium states can be made stable by eliminating some of the allowed stated, while retaining others. This can be achieved by altering passive resistances and constraints. A state made stable by altering passive resistances and/or constraints is called a quasi-stable state. The stable st ...
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Quantum State Reconstruction From Incomplete Data
Quantum State Reconstruction From Incomplete Data

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A quantum delayed choice experiment

... The quantum state of the resonator field can be characterized by the Winger function (WF), which describes the quasiprobability distribution of the field in phase space. The WF W    associated with the density operator  is defined as ...
On the Topological Origin of Entanglement in Ising Spin Glasses
On the Topological Origin of Entanglement in Ising Spin Glasses

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Propagator of a Charged Particle with a Spin in Uniform Magnetic
Propagator of a Charged Particle with a Spin in Uniform Magnetic

... which is studied in detail at [5,14,17,24,26,44]. For an extension to the case of the forced harmonic oscillator including an extra velocity-dependent term and a timedependent frequency, see [8,9,12,23]. Furthermore, an exact solution of the n-dimensional time-dependent Schrödinger equation for cer ...
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Classical and Quantum Ideal Gases

... and pressure to characterise it, motivated by our human sensitivity to these properties. However, the gas itself has a much finer level of detail, being composed of specks of dust, molecules and atoms, all in random motion. How can we explain the macroscopic, coarse-grained appearance in terms of th ...
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Generation of nonclassical states from thermal radiation

... is highly singular or not positive, i.e. it cannot be interpreted as a classical probability distribution. In general however, since the P function can be badly behaved, it cannot be connected to any observable quantity. A conceptually simple way to generate a quantum light state with a varying degr ...
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... (a) Assume that an “orbiting electron wave” has the same energy an orbiting particle would have if at radius r and of momentum mv. Write an expression for this energy. (b) If the electron behaves as a classical particle, it must obey F = ma. Assuming circular orbit, apply F = ma to eliminate v in fa ...
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