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Continuous Time Quantum Monte Carlo method for fermions
Continuous Time Quantum Monte Carlo method for fermions

... grows faster than the numerator. In our calculations for the non-Hamiltonian systems we also did not observe any indications of the divergence. The crucial point of the proof is the finiteness of the number of states in the system. This is a particular peculiarity of fermions. For bosons, on other h ...
A Cell Dynamical System Model for Simulation of Continuum
A Cell Dynamical System Model for Simulation of Continuum

Relativistic Adiabatic Approximation and Geometric Phase
Relativistic Adiabatic Approximation and Geometric Phase

Quantum Computation by Adiabatic Evolution Edward Farhi, Jeffrey Goldstone Sam Gutmann
Quantum Computation by Adiabatic Evolution Edward Farhi, Jeffrey Goldstone Sam Gutmann

Quantum critical temperature of a modulated oscillator Lingzhen Guo, Vittorio Peano, M. Marthaler,
Quantum critical temperature of a modulated oscillator Lingzhen Guo, Vittorio Peano, M. Marthaler,

SELECTED TOPICS IN QUANTUM MECHANICS Pietro Menotti
SELECTED TOPICS IN QUANTUM MECHANICS Pietro Menotti

Problems, Puzzles and Prospects: A Personal Perspective on
Problems, Puzzles and Prospects: A Personal Perspective on

... In fact, supergravity doesn't solve problem i), but instead relates gravity to yet other forces which, while definitely not the forces we know from particle physics, might be responsible for our familiar forces. Maybe. Regarding 2), even the most optimistic superenthusiasts expect that all known sup ...
On the mean-field limit of bosons Coulomb two
On the mean-field limit of bosons Coulomb two

On the Energy Spectrum and Ground
On the Energy Spectrum and Ground

... Ln|2s2 − s1 |. At s1 = s2 = 1/2 the exact ground state of (1) has a spin wave structure [4] (spin densities on neighboring lattice sites have opposite signs). 3. Discussion It is known that the next-nearest neighbor interactions (frustration) may enhance the quantum spin fluctuation and suppress the ...
C. 11
C. 11

Macroscopic Distinguishability Between Quantum States
Macroscopic Distinguishability Between Quantum States

Document
Document

Quantum kinetic theory for a condensed bosonic gas
Quantum kinetic theory for a condensed bosonic gas

... operator. In the limit of weakly interacting, dilute quantum gases where strong collisional interaction events are well separated in time, it is possible to solve this equation perturbatively and establish a hierarchy in terms of an expansion parameter proportional to this interaction strength. Once ...
Electronic structure of rectangular quantum dots
Electronic structure of rectangular quantum dots

... and adjustments in the model potential have made the agreement even more precise 共see Ref. 2 for a review兲. Deviations from parabolic confinement have most commonly been studied in connection with the far-infrared response 共FIR兲.3–7 This is due to the generalized Kohn’s theorem,8,9 stating that FIR ...
What is absolutely continuous spectrum?
What is absolutely continuous spectrum?

... Figure 1: A finite sample of length L coupled to two electronic reservoirs the absolutely continuous (ac) spectrum of a quantum Hamiltonian is the set of energies at which the described physical system exhibits transport. Much effort has been devoted to the investigation of this heuristic; so far ma ...
Quantum Magnetism
Quantum Magnetism

Introduction to quantum statistical thermodynamics by Armen
Introduction to quantum statistical thermodynamics by Armen

... In contrast to entropy, the concept of work has a well-defined operational meaning for finite systems interacting with macroscopic work sources [5]. It is, perhaps, not accidental that Thomson’s formulation of the second law [4–6] — no work can be extracted from an equilibrium system by means of a cyc ...
Born approximation - BYU Physics and Astronomy
Born approximation - BYU Physics and Astronomy

Interference Energy Spectrum of the Infinite Square Well
Interference Energy Spectrum of the Infinite Square Well

... A wavefunction that contains a region of superoscillation turns out to be a special case of this phenomenon, wherein very particular superposition states have transient zeros that remain stable for extended durations [4]. Because of the stability of these zeros, barriers can be raised very slowly, a ...
The harmonic oscillator in quantum mechanics: A third way F. Marsiglio
The harmonic oscillator in quantum mechanics: A third way F. Marsiglio

Physics 451 - BYU Physics and Astronomy
Physics 451 - BYU Physics and Astronomy

Degeneracy in one-dimensional quantum mechanics
Degeneracy in one-dimensional quantum mechanics

On the speed of fluctuations around
On the speed of fluctuations around

Chapter 2: Quantum Mechanics and Symmetry
Chapter 2: Quantum Mechanics and Symmetry

On-site correlations in optical lattices: Band mixing
On-site correlations in optical lattices: Band mixing

... provide a close connection between solid-state systems and atomic physics [1]. The models used to describe these systems generally assume that each lattice site’s wave function is easily built up from single-particle states [2]. Here we argue that this approximation is inappropriate for quantitative ...
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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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