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referring
referring

... as used in the Kramers–Heisenberg theory of dispersion.41,42 It took Born only a few days to show that Heisenberg’s quantum condition, Eq. 共16兲, was the diagonal matrix element of Eq. 共11兲, and to guess43 that the off-diagonal elements of x̂p̂⫺p̂x̂ were zero, a result that was shown to be compatible ...
Time-dependent density equation and perturbation th
Time-dependent density equation and perturbation th

... matrix is N -representable. Among others, the simplest equation is the second-order density equation (Eq. 19) with n ˆ 2. Here, the density equation is de®ned using W explicitly, but our purpose is to solve the density equation not in the W-space but for the set of the density matrices. For this pur ...
Quantum transport signatures of chiral edge states in Sr2RuO4
Quantum transport signatures of chiral edge states in Sr2RuO4

spins_unit_schrodinger_time_evolution
spins_unit_schrodinger_time_evolution

Adiabatic State Preparation of Interacting Two-Level Systems R. T. Brierley, C. Creatore,
Adiabatic State Preparation of Interacting Two-Level Systems R. T. Brierley, C. Creatore,

2012) all (F I
2012) all (F I

GaAs quantum structures: Comparison between direct
GaAs quantum structures: Comparison between direct

... The band-edge energies at the zone center of the twodimensional Brillouin zone, calculated with the SBTC approximation and with the direct pseudopotential approach, are compared in Fig. 3~a! as a function of the film thickness L ~note that in the ^ 110& directions 1 GaAs ML . 2.0 Å!. In the ‘‘exact’ ...
From Markovian semigroup to non
From Markovian semigroup to non

PHYS571: Lecture Notes Modern Atomic Physics
PHYS571: Lecture Notes Modern Atomic Physics

... insignificant for the reservoir, but with cumulative phase memory over the modes and in this way the atom produces a finite back reaction on itself that has a damping effect on its diagonal (population) and offdiagonal (coherence) atomic dynamics. For example, spontaneous emission of an excited atom ...
72 063623 (2005) .
72 063623 (2005) .

Doubly excited nonautoionizing P, D, and F states of helium with
Doubly excited nonautoionizing P, D, and F states of helium with

Non-relativistic limit in the 2+ 1 Dirac Oscillator: A Ramsey
Non-relativistic limit in the 2+ 1 Dirac Oscillator: A Ramsey

Closed-Form Expressions for the Matrix Exponential
Closed-Form Expressions for the Matrix Exponential

The Effective Action for Local Composite Operators Φ2(x) and Φ4(x)
The Effective Action for Local Composite Operators Φ2(x) and Φ4(x)

An Introduction to Density Functional Theory
An Introduction to Density Functional Theory

... available which are more or less appropriate for any particular study. Ultimately such judgments must be made in terms of results (i.e.: the direct comparison with more accurate theory or experimental data, which will be discussed below) but knowledge of the derivation and structure of functionals i ...
Single Band Effective Mass Equation and Envolvent
Single Band Effective Mass Equation and Envolvent

... Abstract The single-band effective mass Schrödinger equation to calculate the envelope functions is described and its grounds are shown. These envelope functions are used to multiply periodic part of the Bloch functions to obtain approximate eigenfunctions of the Hamiltonian of a nanostructured semi ...
Kondo-model for quantum-dots with spin
Kondo-model for quantum-dots with spin

... to the outside world by coupling to two metal leads labeled by index α = L, R for left and right. The leads have voltages VL and VR and are assumed to be described by non-interacting electrons. By applying a bias-voltage across the device, it is possible to controle the amount of current running thr ...
Sharp Tunneling Peaks in a Parametric Oscillator: Quantum Resonances Missing
Sharp Tunneling Peaks in a Parametric Oscillator: Quantum Resonances Missing

The path integral representation kernel of evolution operator in
The path integral representation kernel of evolution operator in

... generalization of this model is the Merton-Garman model, where there was suggested [6, 7, 9] a suitable dynamics equation of the option price. Just like the Schrodinger equation, the MertonGarman equation is of evolution type. Hence, the path integral method is well fit for presenting the correspond ...
Stability of quantum-dot excited-state laser - diss.fu
Stability of quantum-dot excited-state laser - diss.fu

... varied from 1230 nm to 1290 nm, while keeping the averaged power constant at 3 mW. In all cases, we observe a drop in the ES laser output intensity after the depletion pulse, with the steepest slope and maximal relative reduction for a wavelength of 1260 nm. A similar spectral dependence of the resp ...
E. Waltersson, On the role of the electron
E. Waltersson, On the role of the electron

The Iterative Unitary Matrix Multiply Method and Its Application to
The Iterative Unitary Matrix Multiply Method and Its Application to

Physics 137B
Physics 137B

Cooling of a small sample of Bose atoms with accidental... Maciej Lewenstein , J. Ignacio Cirac , and Luis Santos
Cooling of a small sample of Bose atoms with accidental... Maciej Lewenstein , J. Ignacio Cirac , and Luis Santos

Formal Theory of Green Functions
Formal Theory of Green Functions

... which describes one-particle (or one-hole) propagations in a medium. To describe two or more particle propagations, we would necessitate the twoor many-particle Green function which will be defined in the next section. In interacting systems the Green functions obey the very complicated equations, i ...
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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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