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Quantized

For an effective control operation, the transducer with orthogonal coils has been coupled to a SFT 6000N control equipment, the results being sampled and quantized on 12 bits, stored and post-processed. [Pg.374]

Neuronal networks are nowadays predominantly applied in classification tasks. Here, three kind of networks are tested First the backpropagation network is used, due to the fact that it is the most robust and common network. The other two networks which are considered within this study have special adapted architectures for classification tasks. The Learning Vector Quantization (LVQ) Network consists of a neuronal structure that represents the LVQ learning strategy. The Fuzzy Adaptive Resonance Theory (Fuzzy-ART) network is a sophisticated network with a very complex structure but a high performance on classification tasks. Overviews on this extensive subject are given in [2] and [6]. [Pg.463]

The energy of an elastic wave in a solid is quantized just as the energy of an electromagnetic wave in a cavity. [Pg.411]

Figure A3.8.3 Quantum activation free energy curves calculated for the model A-H-A proton transfer reaction described 45. The frill line is for the classical limit of the proton transfer solute in isolation, while the other curves are for different fully quantized cases. The rigid curves were calculated by keeping the A-A distance fixed. An important feature here is the direct effect of the solvent activation process on both the solvated rigid and flexible solute curves. Another feature is the effect of a fluctuating A-A distance which both lowers the activation free energy and reduces the influence of the solvent. The latter feature enliances the rate by a factor of 20 over the rigid case. Figure A3.8.3 Quantum activation free energy curves calculated for the model A-H-A proton transfer reaction described 45. The frill line is for the classical limit of the proton transfer solute in isolation, while the other curves are for different fully quantized cases. The rigid curves were calculated by keeping the A-A distance fixed. An important feature here is the direct effect of the solvent activation process on both the solvated rigid and flexible solute curves. Another feature is the effect of a fluctuating A-A distance which both lowers the activation free energy and reduces the influence of the solvent. The latter feature enliances the rate by a factor of 20 over the rigid case.
The obvious defect of classical trajectories is that they do not describe quantum effects. The best known of these effects is tunnelling tln-ough barriers, but there are others, such as effects due to quantization of the reagents and products and there are a variety of interference effects as well. To circumvent this deficiency, one can sometimes use semiclassical approximations such as WKB theory. WKB theory is specifically for motion of a particle in one dimension, but the generalizations of this theory to motion in tliree dimensions are known and will be mentioned at the end of this section. More complete descriptions of WKB theory can be found in many standard texts [1, 2, 3, 4 and 5, 18]. [Pg.999]

In addition to affecting the number of active degrees of freedom, the fixed n also affects the iinimolecular tln-eshold E in). Since the total angular momentum j is a constant of motion and quantized according to... [Pg.1014]

To calculate N (E-Eq), the non-torsional transitional modes have been treated as vibrations as well as rotations [26]. The fomier approach is invalid when the transitional mode s barrier for rotation is low, while the latter is inappropriate when the transitional mode is a vibration. Hamionic frequencies for the transitional modes may be obtained from a semi-empirical model [23] or by perfomiing an appropriate nomial mode analysis as a fiinction of the reaction path for the reaction s potential energy surface [26]. Semiclassical quantization may be used to detemiine anliamionic energy levels for die transitional modes [27]. [Pg.1016]

Detailed analyses of the above experiments suggest that the apparent steps in k E) may not arise from quantized transition state energy levels [110.111]. Transition state models used to interpret the ketene and acetaldehyde dissociation experiments are not consistent with the results of high-level ab initio calculations [110.111]. The steps observed for NO2 dissociation may originate from the opening of electronically excited dissociation chaimels [107.108]. It is also of interest that RRKM-like steps in k E) are not found from detailed quantum dynamical calculations of unimolecular dissociation [91.101.102.112]. More studies are needed of unimolecular reactions near tln-eshold to detennine whether tiiere are actual quantized transition states and steps in k E) and, if not, what is the origin of the apparent steps in the above measurements of k E). [Pg.1035]

Shirts R B and Reinhardt W P 1982 Approximate constants of motion for classically chaotic vibrational dynamics vague tori, semiclassical quantization, and classical intramolecular energy flow J. Cham. Phys. 77 5204-17... [Pg.1042]

King R A, Allen W D and Schaefer H F III 2000 On apparent quantized transition-state thresholds in the photofragmentation of acetaldehyde J. Chem. Phys. 112 5585-92... [Pg.1044]

In eollisional exeitation, translational energy of the projeetile ion is eonverted into mtemal energy. Sinee the exeited states of the ions are quantized, so will the translational energy loss be. Under eonditions of high energy resolution, it is... [Pg.1337]

Yokoyama T and Takayanagi K 1999 Size quantization of surface state eiectrons on the Si(OOI) surface Phys. Rev. B 59 12 232... [Pg.1723]

For single crystals, matrix effects are largely mled out and excellent quantization has been achieved by... [Pg.1861]

Hamiltonian in the second-quantization fomi, only one //appears in this fmal so-called equation of motion (EOM) f//, <7/]+ = AJr 7 p(i e. in the second-quantized fomi, // and //are one and the same). [Pg.2188]

One can, for example, express T in temis of a superposition of configrirations = Y.jCj whose amplitudes Cj have been detemiined from an MCSCF, Cl or MPn calculation and express Q in temis of second-quantization operators Offt that cause single-, double-, etc, level excitations (for the IP (EA)... [Pg.2188]

J0rgensen P and Simons J 1981 Second Quantization-Based Methods in Quantum Chemistry (New York Aoademio) J0rgensen P and Simons J (eds) 1986 Geometrical Derivatives of Energy Surfaces and Molecular Properties (Boston, MA Reidel)... [Pg.2193]

J0rgensen P and Simons J 1981 Second Quantization Based Methods in Quantum Chemistry (New York Academic) oh 4... [Pg.2198]

Main J, Mandelshtam V A, Wunner G and Taylor H S 1998 Harmonic inversion as a general method for periodic orbit quantization Nonlinearity1015... [Pg.2327]

Sadeghi R and Skodje R T 1995 Barriers, thresholds and resonances—spectral quantization of the transition state for the collinear D + H2 reaction J. Chem. Phys. 102 193... [Pg.2327]

Henglein A 1988 Mechanism of reactions on colloidal microelectrodes and size quantization effects Top. Curr. Chem. 143 115... [Pg.2914]

A. The Quantization of the Non-Adiabatic Coupling Matrix Along a Closed Path... [Pg.39]


See other pages where Quantized is mentioned: [Pg.110]    [Pg.337]    [Pg.261]    [Pg.378]    [Pg.464]    [Pg.464]    [Pg.1063]    [Pg.57]    [Pg.62]    [Pg.69]    [Pg.139]    [Pg.408]    [Pg.410]    [Pg.903]    [Pg.1034]    [Pg.1134]    [Pg.1178]    [Pg.1709]    [Pg.1841]    [Pg.2047]    [Pg.2064]    [Pg.2392]    [Pg.2445]    [Pg.2486]    [Pg.2487]    [Pg.2488]    [Pg.2863]    [Pg.2974]   
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See also in sourсe #XX -- [ Pg.39 ]

See also in sourсe #XX -- [ Pg.293 ]




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Adiabatic-to-diabatic transformation matrix quantization

Algebraic quantization

Angular Momentum and Quantization of Measurements

Angular momentum spatial quantization

Angular momentum, quantization

Angular quantization

Annihilation operator, second quantization

Approximate second quantization and kinematic interaction

Atomic Particles, Photons and the Quantization of Electron Energies Heisenbergs Uncertainty Principle

Atomic Structure and Spectra-quantization of Energy

Bohr-Sommerfeld quantization

Bohr-Sommerfeld quantization condition

Bohr-Sommerfeld quantization rules

Boson particles quantization

Canonical quantization

Capacitive charging quantized

Capsaicinoids quantization

Cartesian coordinates quantization

Chaos quantized

Charging effects, quantized

Collective quantization

Conductance quantization

Configuration interaction second quantization

Creation operators, in second quantization

Density matrices second-quantization form

Derivatives, second-quantization representation

Diagonal element quantization

Directional quantization

Dynamic properties, 235 First quantization

Dynamics of Quantized Particles and Classical Light Fields

EBK quantization

Effect, of quantization

Einstein-Brillouin-Keller quantization

Electric charge topological quantization

Electric quantized

Electricity, quantization

Electrodeposition of Nanostructures Size-Quantized Films on Metal Substrates

Electromagnetic quantization

Electromagnetic radiation quantization

Electromagnetism electromagnetic charge quantization

Electromagnetism helicity quantization

Electromagnetism quantization condition

Electron quantized energy levels

Electronic configuration quantized states

Electronic transitions, between quantized

Electronic transitions, between quantized energy levels

Energy levels quantization

Energy operator for a molecular crystal with fixed molecules in the second-quantization representation. Paulions and Bosons

Energy quantization

Energy quantization in atoms

Energy quantized spectrum

Enhanced Redox Chemistry in Quantized Colloids

Equilibrium points, quantization

Equipartition of energy and quantization

Error quantization

Evidence for Energy Quantization in Atoms

Expressing Quantum-Mechanical Operators in Second Quantization

Fermi quantization effects

Films size quantization

First quantization

First quantization compared with second

First- and second-quantization operators compared

First-Quantized Dirac-Based Many-Electron Theory

First-quantized formalism

First-quantized operators

Flux quantization

Fourier transforms quantization

Hall effect quantized

Hamiltonian in second-quantization form

Hamiltonian second quantization

Hamiltonian second quantized

Hamiltonian second-quantization formalism

Hamiltonian second-quantized form

Hamiltonian, second-quantized general form

Hamiltonian, second-quantized groups

Hamiltonian, second-quantized nonrelativistic

Hamiltonian, second-quantized operators

Helicity topological quantization

Hermiticity of Second Quantized Operators

Hot Objects and the Quantization of Energy

Hydrogen energy quantization

Importance of Second Quantization

In second-quantization form

Induction quantized

Interaction of quantized fields

Lamellar quantized

Lamellar thickness quantized

Learning vector quantization

Learning vector quantizer network

Light and Quantized Energy

Light quantization

Light quantized

Light, Quantization, and Probability

Magnetic charge, topological quantization

Magnetic flux quantization

Magnetic moment quantization

Magnetic quantization

Magnetic quantized

Material size-quantized

Matrix elements second quantization

Maxwell Field Quantization

Mean-Field Formalism in Second Quantization

Method quantization limit

Molecular systems complex energy quantization

Molecular systems quantization

Moment quantization

Nanocrystalline Semiconductor Films and Size Quantization

Nanoparticles quantized energy

Noise quantization

Non-adiabatic coupling closed path matrix quantization

Non-adiabatic coupling three-state matrix quantization

Normal-ordered second-quantized operators

Nuclei quantized orientation

Operators and matrix elements in second-quantization representation

Operators and wave functions in second-quantization representation

Operators second-quantized representation

Operators spin-orbit, second-quantized

Orbitals quantization

Orthogonal spin quantization

Periodic-orbit quantization

Phonons as Quantized Lattice Vibrations

Photons quantized vibrational energy levels

Planck quantization

Planck quantization development

Planck-Einstein quantization

Polyol Quantization by Chemical Analysis

Practical Methods for Quantized VTST Calculations

Principles of Molecular Spectroscopy Quantized Energy States

Products of second-quantization operators

Propagators and Second Quantization

QUANTIZED ENERGY AND PHOTONS

QUANTIZED WHISTLE

Quantization

Quantization

Quantization Gutzwiller trace formula

Quantization and coding

Quantization axes

Quantization condition

Quantization conditions Subject

Quantization conditions for single-well potentials

Quantization effect

Quantization electromagnetic field

Quantization electronic energy

Quantization extensions

Quantization four-state case

Quantization general case techniques

Quantization levels

Quantization model systems

Quantization of Capsaicinoids and Their Distribution in Chili Pepper

Quantization of Droplets

Quantization of Vibrations

Quantization of angular

Quantization of angular momentum

Quantization of electromagnetic field

Quantization of electron energy

Quantization of electron-positron field

Quantization of energy

Quantization of energy levels

Quantization of nuclei

Quantization of radiation

Quantization of the Electromagnetic Field

Quantization of the Maxwell field

Quantization of the Nonrelativistic Hamiltonian

Quantization of the angular momentum

Quantization of the radiation field

Quantization particles

Quantization periodic regime

Quantization scale

Quantization techniques

Quantization techniques clusters

Quantization theoretical background

Quantization three-state case

Quantization three-state systems

Quantization time evolution

Quantization two-state system

Quantization, definition

Quantization, of light

Quantization, of orbitals

Quantization, rules

Quantization, source

Quantized Hall resistance

Quantized Nuclear Motion

Quantized VTST calculation

Quantized amounts

Quantized classical path method

Quantized classical path method calculations

Quantized double layer charging

Quantized electromagnetic field

Quantized eneigy

Quantized energy

Quantized energy levels

Quantized energy states

Quantized fields, pulses

Quantized mean-field approach

Quantized orbit

Quantized phenomena

Quantized redshift

Quantized semiconductors

Quantized single electron tunneling

Quantized states

Quantized systems

Quantized transition states

Quantizing non-adiabatic coupling

Quantum chemistry second quantization formalism

Quantum light theory, B cyclic theorem quantization

Quantum second quantization

Relativistic Second-Quantized Hamiltonians

Rotational quantized energy levels

Rotational spectra quantized rotation

Second Quantization and Hellmann-Feynman Theorem

Second Quantization for Nonorthogonal Orbitals

Second Quantized Form of the Born-Oppenheimer Hamiltonian

Second Quantized Representation of Quantum Mechanical Operators

Second quantization

Second quantization and the many-body problem

Second quantization approach

Second quantization formalism

Second quantization formalism Slater determinant

Second quantization formalism annihilation operators

Second quantization formalism creation operators

Second quantization formalism electronic Hamiltonian

Second quantization formalism occupation number

Second quantization formalism operators

Second quantization formalism state vector

Second quantization of the Born-Oppenheimer Hamiltonian

Second quantized form

Second-Quantized Field-Theoretical Formulation

Second-quantization and irreducible tensorial sets

Second-quantization in the Theory of an Atom. Quasispin and Isospin

Second-quantization method

Second-quantization. Electron creation and annihilation operators

Second-quantized equations

Second-quantized operator strings

Second-quantized operators

Secondary quantization

Self-consistent field method quantization

Self-consistent field second quantization

Semiclassical quantization

Semiclassical quantization using

Semiclassical quantized sampling

Semiconductor size quantization

Size Quantized Nanocrystalline Films

Size quantization

Size quantization in semiconductors

Size-quantization effects

Some Model Hamiltonians in Second Quantized Form

Sommerfeld quantization

Sommerfeld quantization rule

Space quantization

Spatial quantization

Spectral quantization method

Spin in Second Quantization

Spin-orbitals quantization representation

The Hamiltonian in second quantization

The Quantized Harmonic Oscillator Vibrational Spectroscopy

Three-state molecular system, non-adiabatic quantization

Torsional motion quantized

Trajectories, semiclassical quantization

Translational energy, quantization

Turning Point Quantization

Two-state molecular system, non-adiabatic quantization

Vacuum state, second quantization

Vector quantization

Wave function second quantized

Wave functions in second-quantization representation

Weyl quantization

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