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Low-energy spectrum and finite temperature properties of quantum
Low-energy spectrum and finite temperature properties of quantum

... are R = N rs /π and ω0 = CF ~2 π 2 /(32mrs2 ). The Heisenberg coupling energy of the model Hamiltonian can be fitted to the splitting of the lowest band (vibrational ground state) at a given angular momentum. For example, for six electrons J can be determined from the energy difference of the lowest ...
ABSTRACT ADIABATIC QUANTUM COMPUTATION: NOISE IN THE ADIABATIC THEOREM AND USING THE JORDAN-WIGNER
ABSTRACT ADIABATIC QUANTUM COMPUTATION: NOISE IN THE ADIABATIC THEOREM AND USING THE JORDAN-WIGNER

A Complete Characterization of Unitary Quantum
A Complete Characterization of Unitary Quantum

The Time Dependent Schrödinger Equation
The Time Dependent Schrödinger Equation

A Block Slipping on a Sphere with Friction: Exact ScholarlyCommons
A Block Slipping on a Sphere with Friction: Exact ScholarlyCommons

QuantumDynamics_QuickView
QuantumDynamics_QuickView

... The probability density * for the function (x, t) has the form of a stationary piece plus a piece that oscillates back and forth at the difference frequency 21 = 2 - 1. This oscillation is perhaps the simplest example of quantum dynamics. According to classical E&M, the system radiates light w ...
Angular Momentum 23.1 Classical Description
Angular Momentum 23.1 Classical Description

... We learn that, for example, [L̂x , L̂y ] = i ~ Lz . This tells us that it is impossible to find eigenfunctions of Lx that are simultaneously eigenfunctions of Ly and/or Lz . So returning to the issue of [Ĥ, L̂i ] = 0, we can, evidently, choose any one of the angular momentum operators, and have sha ...
Second-order coupling between excited atoms and surface polaritons
Second-order coupling between excited atoms and surface polaritons

... which correspond to waves propagating parallel to the interface and whose amplitude decreases exponentially when moving away from the surface. They are capable of interacting and can be moved around on a surface, making them very attractive means of transporting quantum information from one point to ...
using standard pra s
using standard pra s

LONG-RANGE SCATTERING AT LOW ENERGIES We shall give an
LONG-RANGE SCATTERING AT LOW ENERGIES We shall give an

Why were two theories (Matrix Mechanics and Wave Mechanics
Why were two theories (Matrix Mechanics and Wave Mechanics

No Slide Title
No Slide Title

Relativistic Quantum Mechanics
Relativistic Quantum Mechanics

... We have found that the Klein-Gordon equation, a candidate for describing the quantum mechanics of spinless particles, admits unacceptable negative energy states when  is interpreted as the single particle wave function. There is another way forward (this is the way followed in the textbook of Halze ...
Coherent-state analysis of the quantum bouncing ball
Coherent-state analysis of the quantum bouncing ball

... Fox rectified this problem through the construction of Gaussian-Klauder states 关10兴, based on the principle of energy localization in long-lived packet coherence 共similar observations in a different context have been made elsewhere in the study of revivals 关11,12兴兲. In short, the driving connection ...
Superconducting phase qubit coupled to a nanomechanical resonator:
Superconducting phase qubit coupled to a nanomechanical resonator:

Review of Quantum Mechanics
Review of Quantum Mechanics

... the mass spends at each position). Contrary to the classical one, the largest probability for this lowest energy state is for the particle to be at the center. ...
Lecture11,ch6
Lecture11,ch6

Chapter 2 Fundamental Concepts of Bose
Chapter 2 Fundamental Concepts of Bose

... The particular formula (2.17) is the celebrating Bogoliubov dispersion law[1], which we will discuss in detail in chapter 4. In general, a long-wavelength fluctuation universally appears in a process of spontaneous symmetry breaking in particle and condensed matter systems, and is called the Nambu- ...
Quantum Mechanics of the Solar System - Latin
Quantum Mechanics of the Solar System - Latin

domenico.pdf
domenico.pdf

... We rather see a broad spectral continuum, which is the evidence of nonelementarity of the spin-1 spin wave, on top of a sharp spike at threshold. Such a spike is the enhancement of the matrix element for the decay process of a spin wave into a spinon pair, that is, exactly the two-spinon wavefunctio ...
1 Introduction. Measurable and Nonmea
1 Introduction. Measurable and Nonmea

Quantum orders in an exact soluble model
Quantum orders in an exact soluble model

... are described by their ground state wave functions which are complex functions of infinite variables. Thus it is not surprising that FQH states contain addition structures (or a new kind of orders) that cannot be described by broken symmetries and the Landau’s theory. From this point of view, we see ...
Newton-Equivalent Hamiltonians for the Harmonic Oscillator
Newton-Equivalent Hamiltonians for the Harmonic Oscillator

スライド 1
スライド 1

Numerical solution of the Dirac equation by a mapped Fourier grid
Numerical solution of the Dirac equation by a mapped Fourier grid

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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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