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Universal edge information from wavefunction deformation
Universal edge information from wavefunction deformation

... ground state(s) [1–4]. For instance, a non-zero topological entanglement entropy γ in the ground state indicates the presence of TO and is a measure of the total quantum dimension of the underlying anyonic system [4, 5]. The braiding statistics of anyons in the theory is another such universal prope ...
here.
here.

quantum dynamics of integrable spin chains
quantum dynamics of integrable spin chains

Singularity of the time-energy uncertainty in adiabatic perturbation
Singularity of the time-energy uncertainty in adiabatic perturbation

Classical-quantum correspondence and the
Classical-quantum correspondence and the

Hamilton`s equations. Conservation laws. Reduction
Hamilton`s equations. Conservation laws. Reduction

... Here, of course, the partial derivatives with respect to the coordinates are taken while holding the velocity variables and time fixed, the partials with respect to velocities hold coordinates and time fixed, etc. We desire to express these quantities in terms of coordinates and momenta only and tra ...
Computational complexity in electronic structure PERSPECTIVE
Computational complexity in electronic structure PERSPECTIVE

Motion in a Straight Line
Motion in a Straight Line

RSC_QTECR_ch005 105..131
RSC_QTECR_ch005 105..131

... results based on Kleinert’s variational perturbation theory does not have this problem, and the perturbation series has been shown to be convergent exponentially and uniformly,6,36,37 making the second-order perturbation (KP2) sufficiently accurate for chemical applications.7 We describe an automated, ...
SEMICLASSICAL AND LARGE QUANTUM NUMBER LIMITS
SEMICLASSICAL AND LARGE QUANTUM NUMBER LIMITS

... wells which go to infinity as some positive power of the coordinate r at large distances. Potential wells converging to a constant, e.g. zero, on at least one side can support an infinite number of bound states, if the potential approaches its limiting threshold value slower than 1/r2 , as is the ca ...
Third-order optical response of intermediate
Third-order optical response of intermediate

Quantum Chaos and Quantum Computers
Quantum Chaos and Quantum Computers

NON-HERMITIAN QUANTUM MECHANICS by KATHERINE JONES
NON-HERMITIAN QUANTUM MECHANICS by KATHERINE JONES

... We recast this result in the context of PT quantum mechanics and speculate on whether non-Hermitian quantum mechanics may be able to shed light on the most outstanding problem in condensed matter physics, the theory of high temperature superconductivity[8]. ...
1 Transport of Dirac Surface States
1 Transport of Dirac Surface States

Hamiltonian and measuring time for analog quantum search
Hamiltonian and measuring time for analog quantum search

PyProp - A Python Framework for Propagating the Time
PyProp - A Python Framework for Propagating the Time

... By solving the equations of classical mechanics, scientists had huge success in predicting planetary trajectories, the motion of rigid bodies, etc. Despite this success, it became inceasingly clear towards the end of the 19th century that classical mechanics was not sufficient to describe motion on t ...
January 20, 2004 9:50 WSPC/140-IJMPB 02353
January 20, 2004 9:50 WSPC/140-IJMPB 02353

IBM Josephson junction qubit
IBM Josephson junction qubit

... IBM Josephson junction qubit: analyzing the “portal” -- cannot be fixed to be exactly zero --full non-adiabatic time evolution of Schrodinger equation with fixed  and ...
master equation for state occupancies of an open quantum system 121
master equation for state occupancies of an open quantum system 121

Mikael Petersson Perturbed discrete time stochastic models
Mikael Petersson Perturbed discrete time stochastic models

Semi-classical formula beyond the Ehrenfest time in
Semi-classical formula beyond the Ehrenfest time in

... Linear dispersion regime: Some recent and very general results [16][4][36][9] describe the evolved quantum state ψ (t), in the linear dispersion regime, which means that non linear effects on the dispersion of the coherent state are supposed to be negligible with respect to the linear effects. Becau ...
Nonequilibrium Fermi Golden Rule for electronic transitions
Nonequilibrium Fermi Golden Rule for electronic transitions

... its multi-set counterpart, depending on PESs of the system, in some cases, for a fixed number of GWPs the single-set expansion can perform better than the multi-set expansion. Such situations arise when PESs of two states are quite different and initial electronic coupling is small. Then GWPs on di ...
PPT - Fernando Brandao
PPT - Fernando Brandao

Superconducting Qubits and the Physics of Josephson Junctions
Superconducting Qubits and the Physics of Josephson Junctions

PHYSICS 430 Lecture Notes on Quantum Mechanics
PHYSICS 430 Lecture Notes on Quantum Mechanics

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Perturbation theory (quantum mechanics)

In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional ""perturbing"" Hamiltonian representing a weak disturbance to the system. If the disturbance is not too large, the various physical quantities associated with the perturbed system (e.g. its energy levels and eigenstates) can be expressed as ""corrections"" to those of the simple system. These corrections, being small compared to the size of the quantities themselves, can be calculated using approximate methods such as asymptotic series. The complicated system can therefore be studied based on knowledge of the simpler one.
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