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A Formal Cause Beyond Space and Time
A Formal Cause Beyond Space and Time

... only absorbed and emitted as discrete packets, but energy does not travel in space in the form of particles. The electromagnetic waves are not discarded by Planck: They still serve as the carriers of energy in space as a continuum. Planck attempts to attribute both continuity and discreteness to ene ...
Chapter 1 Review of thermodynamics and statistical mechanics
Chapter 1 Review of thermodynamics and statistical mechanics

... • (N, V, S). This set of variables is not widely used but it is anyway useful sometimes, especially in theoretical arguments. The thermodynamic potential here is the energy, E = E(N, V, S), which can always be obtained from S = S(N, V, E) by inversion. The energy satisfies a minimum principle, in c ...
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Full-Text PDF

Semiclassical Origins of Density Functionals
Semiclassical Origins of Density Functionals

... points and evanescent regions. Without a pseudopotential, there are also Coulomb cores, which require special treatment. The dominant term (in a sense specified below) in all cases is correctly given by the local density approximation, but in the latter case there are important quantum corrections, ...
Nobel Lecture: Fractional quantization
Nobel Lecture: Fractional quantization

Chapter 5 The Quantum Soul: A Scientific Hypothesis
Chapter 5 The Quantum Soul: A Scientific Hypothesis

Production of Phonon Schr ¨odinger Cat States in Benzoid Rings
Production of Phonon Schr ¨odinger Cat States in Benzoid Rings

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... fabrication of low dimensional semiconductor structures such as quantum well, quantum wires and quantum dots1-5. A quantum well (QW) is formed when a thin layer of lower band gap semiconductor is sandwiched between two longer of higher band gap semiconductor6,7. In the quantum will structure, electr ...
The Need for Structure in Quantum Speedups
The Need for Structure in Quantum Speedups

... f is relatively well-understood. Already in 1998, Beals et al. [8] showed the following: Theorem 2 (Beals et al.) D (f ) = O(Q(f )6 ) for all total Boolean functions f : {0, 1}N → {0, 1}. Furthermore, it is easy to generalize Theorem 2 to show that D (f ) = O(Q(f )6 ) for all total functions f : [M ...
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M.Sc. CCSS 2010
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Infrared and ultraviolet cutoffs of quantum field theory

... electron would slightly modify the energy levels of the hydrogen atom. Given the extraordinary agreement between theory and the experimental measurement of the Lamb shift (one part in 105 [15,3]), one has µ < 10−6 − 10−7 eV. Therefore, an identification of the scale µ which parametrizes the Lorentz ...
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Fermi accelerator in atom optics

... rays. Since then many models associated with the name of Fermi accelerator describing particles colliding with moving walls have been investigated theoretically @2–6#. The recent experiment @7# on atoms bouncing off a modulated atomic mirror constitutes an atom optics @8# version of the Fermi accele ...
Coupled quantum dots as quantum gates
Coupled quantum dots as quantum gates

... the effective Bohr radius of a single isolated harmonic well. This choice for the potential is motivated by the experimental fact5 that the spectrum of single dots in GaAs is well described by a parabolic confinement potential, e.g., with \ v 0 53 meV. 5 We note that increasing ~decreasing! the inte ...
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POLYNOMIAL-TIME ALGORITHMS FOR PRIME FACTORIZATION

An Introduction to Quantum Cosmology
An Introduction to Quantum Cosmology

... We set out to provide an introduction to the area of quantum cosmology. We begin by introducing quantized general relativity or quantum geometrodynamics on which quantum cosmology is based, discussing issues in this construction. A wave function of the universe is constructed whose dynamics are gove ...
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Ground state entanglement entropy for discrete

... The contour of the probability density is shown in Fig. 1 for the case of  = 0 (continuous-time case), and  = 2. According to Fig. 1, the probability of the discrete-time wave function is a little bit broader than that of the continuous-time p the fact  wave function. This results from that both ...
Phys. Chem. Chem. Phys. 14, 9411-20
Phys. Chem. Chem. Phys. 14, 9411-20

... In quantum simulation, we are interested in the behavior and properties of a quantum system, which could be either a stationary molecule or a chemical reaction. The procedure of quantum simulation can be summarized in three steps: (a) preparing the quantum state into an initial state, (b) evolving t ...
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Investigating incompatibility: How to reconcile complementarity with EPR C

... The traditional picture drawn about the Bohr-EPR debate is that of utter contrast, to which Bohr’s own reply to EPR constitutes no exception. Bohr’s reply to EPR is incompatible with EPR. This is exactly what it was intended to be right from the start and it would not be a reply in his mind if it we ...
The Bohr model
The Bohr model

... We divide by 2π and use known constants to find that we expect a frequency of 2.43 × 1015 Hz corresponding to 123 nm wavelength. This is approximately the Lyman-alpha wavelength (121.5 nm), but does not account for the infinite spectrum that Hydrogen actually exhibits. Nor does this model incorporat ...
Diagonalization vs. Decoherence
Diagonalization vs. Decoherence

Full text in PDF form
Full text in PDF form

... but also that whence it appears. The question arises, whether the information is lost in this case for every separate observer. For the event under consideration this question sounds as follows: are the entropy densities S(in) and S(out) equal for every separate observer? It will be shown that in ...
Quantum transport equations for Bose systems taking into account
Quantum transport equations for Bose systems taking into account

... one-particle distribution function f 1 (q, p, t ) = 〈n̂ q (p)〉t , which satisfies the kinetic equation for a quantum Bose system. The agreement between the kinetics and hydrodynamics for dilute Bose gas does not cause any problems because in this case the density is a small parameter. Therefore, only ...
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Hidden variable theory

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