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Coherent State Wave Functions on the Torus
Coherent State Wave Functions on the Torus

Lecture Notes in Quantum Mechanics Doron Cohen
Lecture Notes in Quantum Mechanics Doron Cohen

Pascual Jordan`s resolution of the conundrum of the wave
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... In 1909, Einstein derived a formula for the mean square energy fluctuation in a subvolume of a box filled with black-body radiation. This formula is the sum of a wave term and a particle term. Einstein concluded that a satisfactory theory of light would have to combine aspects of a wave theory and a ...
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Explicit construction of local conserved operators in disordered

Linear spin wave theory - Paul Scherrer Institut
Linear spin wave theory - Paul Scherrer Institut

scattering states from time-dependent density functional theory
scattering states from time-dependent density functional theory

- Lancaster EPrints
- Lancaster EPrints

... In order to further investigate the covalent character of M–Cl in these systems, the quantum theory of atoms in molecules (QTAIM) was employed. QTAIM is able to provide a robust and quantitative measure of the covalent contribution to bonding in the f-element complexes under consideration here. Tabl ...
International Journal of Mathematics, Game Theory and Algebra
International Journal of Mathematics, Game Theory and Algebra

... e.g., [2,3,4,7,10]). More general result of this type belongs to Leshno, Lin, Pinkus and Schoken [11]. They proved that the necessary and sufficient condition for any continuous activation function to have the density property is that it not be a polynomial. This result shows the efficacy of the sin ...
Transport properties of normal liquid helium
Transport properties of normal liquid helium

... operators. To obtain both portions of the memory kernel one requires as input the values of the memory function at t = 0, its second time derivative at t = 0, and the vertex. While these properties can be obtained from static equilibrium input, however, they involve thermal averages over operators t ...
Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation
Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation

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Inorganic Chemistry‑II

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International Journal of Molecular Sciences

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Quantum relaxation and finite-size effects in the XY chain in... transverse field after global quenches

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Wigner functions - Statistical Physics and Theory of Chaos

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Fast hydrogen elimination from the †Ru„PH3…3„CO…„H…2‡ and

... reported time-resolved data.24 In both cases we will obtain two-dimensional potential energy surfaces by fitting analytical functions to electronic calculations and will analyze the nuclear dynamics on them through the use of rigorous quantum mechanical procedures. In order to explain the experiment ...
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... Near the end of that volume Whittaker departs from his self-imposed time frame to allude (at page 279) to some quantum mechanical work which he himself published in . As it happens, I had come quite by accident upon the paper in question5 in , had recognized its relevance to my then on-going ...
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... Titration is a common method of quantitative analysis used to determine the concentration of an unknown substance in a solution. The method is easy to use if the quantitative relationship between two reacting solutions is known. It is particularly well-suited to acid-base and oxidation-reduction rea ...
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Definition 1: Annihilation Operator Coherent State

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Theoretical methods that help understanding the structure and

... • The fundamental laws necessary for the mathematical treatment of a large part of physics and the whole chemistry are thus completely known, and the difficulty lies only in the fact that application of these laws leads to equations that are too complex to be solved. For many, this statement represe ...
Quantum steam tables. Free energy calculations for H2O, D2O, H2S
Quantum steam tables. Free energy calculations for H2O, D2O, H2S

... mode decouplings are invoked and the calculations represent the result of converged quantum mechanics for the assumed potential functions. We compare the results of these calculations to approximate calculations based on assuming separability of the vibrational and rotational degrees of freedom comb ...
On the quantization of the superparticle action in proper time and the
On the quantization of the superparticle action in proper time and the

... It is known [6] the problem of the square root operator in theoretical physics, in particular Quantum Mechanics and QFT. Several attempts for to avoid the problem of locality and quantum interpretation of Hamiltonian as square root operator was written in the literature: differential pseudoelliptic ...
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New Journal of Physics Quantum interference-induced stability of repulsively Lea F Santos

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Coupled cluster

Coupled cluster (CC) is a numerical technique used for describing many-body systems. Its most common use is as one of several post-Hartree–Fock ab initio quantum chemistry methods in the field of computational chemistry. It essentially takes the basic Hartree–Fock molecular orbital method and constructs multi-electron wavefunctions using the exponential cluster operator to account for electron correlation. Some of the most accurate calculations for small to medium-sized molecules use this method.The method was initially developed by Fritz Coester and Hermann Kümmel in the 1950s for studying nuclear physics phenomena, but became more frequently used when in 1966 Jiři Čížek (and later together with Josef Paldus) reformulated the method for electron correlation in atoms and molecules. It is now one of the most prevalent methods in quantum chemistry that includes electronic correlation.CC theory is simply the perturbative variant of the Many Electron Theory (MET) of Oktay Sinanoğlu, which is the exact (and variational) solution of the many electron problem, so it was also called ""Coupled Pair MET (CPMET)"". J. Čížek used the correlation function of MET and used Goldstone type perturbation theory to get the energy expression while original MET was completely variational. Čížek first developed the Linear-CPMET and then generalized it to full CPMET in the same paper in 1966. He then also performed an application of it on benzene molecule with O. Sinanoğlu in the same year. Because MET is somewhat difficult to perform computationally, CC is simpler and thus, in today's computational chemistry, CC is the best variant of MET and gives highly accurate results in comparison to experiments.
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