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Relativistic effects in atomic and molecular properties
Relativistic effects in atomic and molecular properties

Chem Soc Rev - [ RSC ] Publishing
Chem Soc Rev - [ RSC ] Publishing

... On the other hand, wavefunction-based ab initio methods can be systematically improved and converged toward the exact solution of the Schrödinger equation. Among the ab initio quantum mechanical methods the coupled-cluster model with single and double excitations corrected by perturbative triples ( ...
Irreducible Tensor Operators and the Wigner
Irreducible Tensor Operators and the Wigner

Sem I CHE 131 - Christ University
Sem I CHE 131 - Christ University

Introduction to Spectral Theory of Schrödinger Operators
Introduction to Spectral Theory of Schrödinger Operators

Quantized field description of rotor frequency
Quantized field description of rotor frequency

... quantized field Hamiltonian. The interactions for a multispin system under MAS conditions are described in the rotor angle frame using quantum rotor dynamics. In this quasiclassical theoretical framework, the chemical shift, the dipolar interaction, and radio frequency terms of the Hamiltonian are d ...
BASIS SET SUPERPOSITION ERROR EFFECTS, EXCITED-STATE POTENTIAL ENERGY SURFACE AND
BASIS SET SUPERPOSITION ERROR EFFECTS, EXCITED-STATE POTENTIAL ENERGY SURFACE AND

Conformal Bootstrap Approach to O(N) Fixed Points in Five
Conformal Bootstrap Approach to O(N) Fixed Points in Five

... with its implication to higher-spin holography was much debated. We find an affirmative result on this question by utilizing conformal bootstrap approach. In solving for the crossing symmetry condition, we propose a new approach based on specification for the low-lying spectrum distribution. We find ...
Electronic Transport in Metallic Systems and Generalized Kinetic
Electronic Transport in Metallic Systems and Generalized Kinetic

Download: PDF
Download: PDF

numerical simulations of strongly correlated electron and spin systems
numerical simulations of strongly correlated electron and spin systems

... a central challenge for the condensed matter physics community. In the absence of exact solutions and controlled analytical approximations, numerical techniques have often contributed to our understanding of these systems. Exact Diagonalization (ED) requires the storage of at least two vectors the s ...
Many-body theory of excitation dynamics in an ultracold Rydberg gas
Many-body theory of excitation dynamics in an ultracold Rydberg gas

... demonstrated for a direct 共i.e., first-order兲 dipole-dipole interaction of the Rydberg atoms, and it was shown that the suppression of excitations is particularly pronounced at the so-called Förster resonances 关9兴. Furthermore, it was shown that the blockade effect also leads to a quenching of the p ...
DEVELOPMENT, IMPLEMENTATION AND APPLICATION OF ELECTRONIC STRUCTURAL DESCRIPTORS TO THE
DEVELOPMENT, IMPLEMENTATION AND APPLICATION OF ELECTRONIC STRUCTURAL DESCRIPTORS TO THE

Semiclassical Green`s functions and an instanton formulation of
Semiclassical Green`s functions and an instanton formulation of

... where in both cases the Born-Oppenheimer approximation is first applied to obtain a single-surface Hamiltonian. The Im F method32 can be used to derive the instanton approximation to the adiabatic escape rate from metastable states in the high- or low-temperature limit26 although its application to ...
Frontiers in Quantum Methods and Applications in Chemistry and
Frontiers in Quantum Methods and Applications in Chemistry and

Bulk Locality and Quantum Error Correction in AdS/CFT arXiv
Bulk Locality and Quantum Error Correction in AdS/CFT arXiv

Mathematical Analysis of Evolution, Information, and Complexity
Mathematical Analysis of Evolution, Information, and Complexity

Theoretical study of solitonic excitations in Bose
Theoretical study of solitonic excitations in Bose

... (Summary of the Ph.D. thesis) On the basis of quantum mechanics and statistical physics it is verifiable theoretically that a macroscopical part of system of bosonic particles fills the same quantum state at low temperature. This effect was predicted in 1924, but the experimental observation has bee ...
Hybridisation
Hybridisation

The Reaction Rates of O2 with Closed-Shell and Open
The Reaction Rates of O2 with Closed-Shell and Open

... A comparison of measured rate coefficients with predictions from kinetic theories would allow further conclusions regarding the underlying reaction mechanisms. However, the calculation of rate coefficients from first principles with molecular and transition state data from quantum chemical methods requir ...
The Mathematics of the Casimir Effect
The Mathematics of the Casimir Effect

AP Chemistry
AP Chemistry

Quantum Transport in Finite Disordered Electron Systems
Quantum Transport in Finite Disordered Electron Systems

the fermi liquid as a renormalization group fixed point
the fermi liquid as a renormalization group fixed point

... Current interest in the physics of strongly correlated fermions [non-Fermi Liquids in d > 1] inspired a new wave of efforts aimed at clarifying the foundations of the Landau FLT and possible mechanisms of its breakdown. Let us mention only two approaches, which can be seen as sophisticated modern co ...
Mathematical Skills Handbook
Mathematical Skills Handbook

... Here it is not clear whether the zeroes in the expression on the left are significant figures or not, though this would normally be clear from the context where conversion to standard form was required. If a value such as 14 300 J emerges as the answer to a question where an appropriate number of si ...
< 1 2 3 4 5 6 7 8 9 ... 68 >

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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