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Chapter 12 Path Integral for Fermion Fields
Chapter 12 Path Integral for Fermion Fields

... After introducing path integrals in quantum mechanics we now turn to the path integral representation of field theories. In this chapter we discuss the fermionic sector of the Schwinger model, which is probably the simplest non-trivial field theory. The Schwinger model is just QED for massless fermi ...
Effect of a scale-dependent cosmological term on the motion of
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... of long distance and short distance effects is not trivial. In the case of gravity this problem is even more serious, because while speaking of gravitons as of elementary particles we rely on the concept of Lorentz symmetry; but at the same time we admit that a decay of these particles could be cau ...
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Cooperative Spintronics Research
Cooperative Spintronics Research

... 1) Khitun A., Nikonov D.E., Bao M., Galatsis K., and Wang K.L., Feasibility study of logic circuits with spin wave bus. Nanotechnology 18, p. 465202, 2007. 2) Eerenstein, W., N.D. Mathur, and J.F. Scott, Multiferroic and magnetoelectric materials. Nature, 2006. 442(17): p. 759-65. 3) Covington, M., ...
5 The Renormalization Group
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QUANTUM FIELD THEORY a cyclist tour

... to classical, statistical and stochastic mechanics, which in ChaosBook.org are thought of together - in terms of evolution operators and their spectra. The common theme of the three theories is that things fall apart, and infinitely many fragments have to be pieced together to craft a theory. In the ...
Coupled quantum dots as quantum gates
Coupled quantum dots as quantum gates

... FIG. 2. Exchange energy J in units of meV plotted against the magnetic field B ~in units of Tesla!, as obtained from the s-wave Heitler-London approximation ~dashed line!, Eq. ~7!, and the result from the improved sp-hybridized Heitler-London approximation ~triangles!, which is obtained numerically ...
Wave functions in the Anderson model and in the quantum
Wave functions in the Anderson model and in the quantum

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Seoul National University, Korea, 06/2010, Insuk Yu
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Introduction - The Purposes and Usefulness of

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... quantum phase transitions and critical phenomena. This analogy was revealed w 9x by using the large dimensional limit model of electronic structure configurations w 11x . Quantum phase transitions can take place as some parameter in the Hamiltonian of the system is varied. For the Hamiltonian of N-e ...
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... Reduce microstate table into its commponent free-ion terms. The spin multiplicity is the same as the # of microstates. Each terms has different energies; they represent three states with different degrees of electron-electron interactions. Which term has the lowest energy. This can be done by using ...
Renormalisation of φ4-theory on noncommutative R4 to all orders
Renormalisation of φ4-theory on noncommutative R4 to all orders

... always finite. The UV/IR-problem was found in all UV-divergent field theories on the Moyal plane. Models with at most logarithmic UV-divergences (such as two-dimensional and supersymmetric theories) can be defined at any loop order, but their amplitudes are still unbounded at exceptional momenta. ...
Page 1 Lecture: Quantum Optics Derivation of the Master Equation
Page 1 Lecture: Quantum Optics Derivation of the Master Equation

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... Any problem that can be solved on a quantum computer in polynomial time can be solved by MQC with the cluster state in polynomial time. Advantages of MQC: • Entangling operations = nearest neighbors Ising interactions • Noisy resource state can be efficiently purified • Can be made fault-tolerant wi ...
Quantum Phase Transition and Emergent Symmetry in a Quadruple Quantum... Dong E. Liu, Shailesh Chandrasekharan, and Harold U. Baranger
Quantum Phase Transition and Emergent Symmetry in a Quadruple Quantum... Dong E. Liu, Shailesh Chandrasekharan, and Harold U. Baranger

... conductance is small because the phase shift is nearly zero in the LSS state [10]. For U0 large (U0 > 0:15), the conductance is also small and approaches zero as U0 ! 1, consistent with the argument in Ref. [8]. At intermediate values of U0 , there is a strikingly sharp conductance peak near the val ...
[235] JPhysConfSer_702(2016)012001
[235] JPhysConfSer_702(2016)012001

... s = 1, whereas the Co2+ ions appear to take the low-spin value s = 12 in the former family BaCo2 (XO4 )2 and the high-spin value s = 23 in the latter compound Cu3 Co2 SbO6 . As a last example of an s = 23 honeycomb-lattice AFM material, we also mention the layered compound Bi3 Mn4 O12 (NO3 ) [36,37] ...
The Fermi-Hubbard model 11 The Hubbard model
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... In the ultracold gases context, the Bose-Hubbard model is often the one that is taught first in courses since it was experimentally realized by ultracold gases well before the Fermi-Hubbard model. This is the case also in these series of quantum gas lectures at ETH: you have already learned about th ...
Spin-orbit - NC State University
Spin-orbit - NC State University

... One notable atomic spectral line of sodium vapor is the so-called D-line, which may be observed directly as the sodium flame-test line and also the major light output of low-pressure low pressure sodium lamps (these produce an unnatural yellow. The D-line is one of the classified Fraunhofer lines. l ...
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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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