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Coordination Chemistry III: Electronic Spectra
Coordination Chemistry III: Electronic Spectra

... with more than one electron, we need to understand in more detail how these electrons interact with each other. • Each conceivable set of individual ml and ms values constitutes a microstate of the configuration. – How many microstates in a d1 configuration? – Examine the carbon atom (p2 configurati ...
Simple examples of second quantization 4
Simple examples of second quantization 4

... with extremely large spin S, but once the spin S becomes small, spins behave as very new kinds of object. Now their spin becomes a quantum variable, subject to its own zero-point motions. Furthermore, the spectrum of excitations becomes discrete or grainy. Quantum spins are notoriously difficult obj ...
Homework 3: Due in class on Monday, Oct 21st, 2013
Homework 3: Due in class on Monday, Oct 21st, 2013

... |+i and |−i states, corresponding to the “spin” directed parallel and antiparallel to the field ~h. You should be able to recover the field of the monopole located at the origin of the parameter space, with particular values of the monopole strength (how are those related for |+i and |−i states?) Pr ...
The Density Matrix Renormalization Group Method for Realistic
The Density Matrix Renormalization Group Method for Realistic

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... Ultracold atomic systems can be used to model condensed-matter physics, providing precise control of system variables often not achievable in real materials. This involves inducing charge-neutral particles to behave as if they were charged particles in a magnetic field. To this end, PFC-supported re ...
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Quantum spin liquids
Quantum spin liquids

... theory’. This already contains the basic aspects of quantum fluctuations in ordered systems. The main consequence of long-range order is the presence of low-energy, hydrodynamic fluctuations, as in all systems with long-range order, and this is in essence classical. Specific quantum effects are impo ...
Nuclear Spin Ferromagnetic transition in a 2DEG Pascal Simon
Nuclear Spin Ferromagnetic transition in a 2DEG Pascal Simon

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ICCP Project 2 - Advanced Monte Carlo Methods
ICCP Project 2 - Advanced Monte Carlo Methods

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SMP IOP Hanoi Nov. 18

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(normal) Zeeman Effect with Spin Spin

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Modern physics

... History of atomic models: • Thomson discovered electron, invented plum-pudding model • Rutherford observed nuclear scattering, invented orbital atom • Bohr quantized angular momentum, for better H atom model. • Bohr model explained observed H spectra, derived En = E/n2 and phenomenological Rydberg ...
Quantum spin chains
Quantum spin chains

... and store it in sparse matrix form, and then find the ground state and first excited state of the Hamiltonian using sparse matrix algorithms. The states of the system can be labelled by an integer s which runs from 0 to 2 L − 1. If we find the binary form of this integer and then change each zero in ...
The Wilsonian Revolution in Statistical Mechanics and Quantum
The Wilsonian Revolution in Statistical Mechanics and Quantum

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polar molecules in topological order
polar molecules in topological order

... coupling strengths that allow them to reach the so-called ‘low-temperature limit’ at experimentally accessible temperatures. The Landau theory of second-order phase transitions associates with every transition a symmetry-breaking mechanism, and with every ordered phase an appearance of a local order ...
Path integral Monte Carlo study of the interacting quantum double-well... Quantum phase transition and phase diagram
Path integral Monte Carlo study of the interacting quantum double-well... Quantum phase transition and phase diagram

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Quantum phase transitions in atomic gases and

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... Relate the coefficients a,b,c to the parameters of the microscopic BCS Hamiltonian. Show that the coefficient a of the quadratic term changes sign at the BCS transition point, while b and c are positive. 4. Path integral for spin 1 / 2 (optional) In this problem we first introduce a fermionic repres ...
Magnetic-field dependence of chemical reactions
Magnetic-field dependence of chemical reactions

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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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