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Microcanonical distributions for quantum systems
Microcanonical distributions for quantum systems

... to improve the conceptual foundations of quantum statistical mechanics through its consideration, but additionally we may be able to put the new statistical theory to the test. For this we would require the specification of a class of physical systems for which the SQM distribution would constitute ...
Sombrero Adiabatic Quantum Computation
Sombrero Adiabatic Quantum Computation

Unified treatment of quantum coherent and incoherent hopping
Unified treatment of quantum coherent and incoherent hopping

... coherence, and the significance of quantum superposition states in generating an efficiency of near unity in the quantum yield of photosynthetic EET. In order to address these questions, detailed theoretical investigations and novel theoretical frameworks are required in addition to further experime ...
Interatomic Methods for the Dispersion Energy Derived from the
Interatomic Methods for the Dispersion Energy Derived from the

... prove the equivalence between the full interaction energy obtained from the Hamiltonian diagonalization and the ACFD correlation energy in the random-phase approximation. This property makes the Hamiltonian diagonalization an efficient method for the calculation of the many-body dispersion energy. I ...
Noncommuting Coordinates in the Landau Problem
Noncommuting Coordinates in the Landau Problem

... There exists a well known phenomenological realization of noncommuting coordinates in the realm of quantum mechanics: a charged particle in an external magnetic field so strong that projection to the lowest Landau level is justified.A charged particle in an external magnetic field is effectively con ...
The complexity of the Separable Hamiltonian Problem
The complexity of the Separable Hamiltonian Problem

Harmonic Oscillator: Variational Monte Carlo
Harmonic Oscillator: Variational Monte Carlo

Direct Measurement of Topological Numbers with
Direct Measurement of Topological Numbers with

Phase transition of Light - Universiteit van Amsterdam
Phase transition of Light - Universiteit van Amsterdam

Inconsistencies of the Adiabatic Theorem and the Berry Phase
Inconsistencies of the Adiabatic Theorem and the Berry Phase

Non-interacting Spin-1/2 Particles in Non
Non-interacting Spin-1/2 Particles in Non

... for the excited states. A scheme for obtaining the energies of the excited states was highlighted in section 3.2. Since most real systems do interact, examples of how the interaction terms of an Hamiltonian can be included by Rayleigh-Schrödinger perturbation was demonstrated by finding energy corre ...
Prime Factorization by Quantum Adiabatic Computation
Prime Factorization by Quantum Adiabatic Computation

Downloadable Full Text - DSpace@MIT
Downloadable Full Text - DSpace@MIT



The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions c.
The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions c.

1. The Dirac Equation
1. The Dirac Equation

... The energy eigenvalues of the hydrogenic solutions to the Schrödinger equation are only dependent upon n, the principal quantum number, while the Dirac hydrogenic eigenvalues are dependent on both n and j. The spectral dependence on j is upheld by experimental observation, however the degeneracy of ...
Critical nuclear charge of quantum mechanical three
Critical nuclear charge of quantum mechanical three

S–I–S its S–I transition C.D. , Kwangmoo Kim
S–I–S its S–I transition C.D. , Kwangmoo Kim

Kinetic Energy Estimates for the Accuracy of the Time
Kinetic Energy Estimates for the Accuracy of the Time

... Derivation of the TDHF Equation. The derivation of the TDHF equation may be seen as part of the quest for a derivation of macroscopic, or mesoscopic, dynamics from the microscopic classical or quantum-mechanical dynamics of many-particle systems as an effective theory. Let us first discuss some genera ...
Finite size scaling for critical parameters of simple diatomic molecules
Finite size scaling for critical parameters of simple diatomic molecules

The classical and quantum mechanics of a particle on a knot.
The classical and quantum mechanics of a particle on a knot.

... operators pθ and θ do not commute requires us to perform an operator-ordering of the classical Hamiltonian. The above analysis shows that while toroidal coordinates are ideally suited to consider the motion of a particle on a circle in the xy-plane, they are more cumbersome when it comes to handling ...
Spontaneous Emission and Superradiance
Spontaneous Emission and Superradiance



An Active Approach to Characterizing Dynamic Dependencies
An Active Approach to Characterizing Dynamic Dependencies

... case study. In this next slide, I’ve presented the dependencies in a tabular format [explain; is equiv to graph]. Looking at the dependencies this way suggests how such a representation could be useful for our original goal of problem determination Slide 17 ...
quantum theory of atoms, molecules and their interaction with light
quantum theory of atoms, molecules and their interaction with light

... There are several problems (˜60) embedded in the text, and their solution is strongly recommended for the students. In view of the author this is a necessary condition for getting a reliable knowledge of the subject, as is the case with any other physics subject. The electronic form made it possible ...
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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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