
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 ...
... 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
... 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 ...
... 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 ...
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., ...
... 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., ...
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 ...
... 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
... 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 ...
... 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
... + are constant for nearest neighbor cluster sites and zero otherwise; for simplicity we take = 1 as energy unit. For the diagonal terms of the Hamiltonian we consider two diÿerent kinds of disorder: In the Anderson model (AM) all sites of the underlying lattice have ýnite . The values are randomly c ...
... + are constant for nearest neighbor cluster sites and zero otherwise; for simplicity we take = 1 as energy unit. For the diagonal terms of the Hamiltonian we consider two diÿerent kinds of disorder: In the Anderson model (AM) all sites of the underlying lattice have ýnite . The values are randomly c ...
Seoul National University, Korea, 06/2010, Insuk Yu
... 2. Large N limit For what condensed matter systems these problems are minimized? Phase Transitions triggered by thermal fluctuations ...
... 2. Large N limit For what condensed matter systems these problems are minimized? Phase Transitions triggered by thermal fluctuations ...
Universal edge information from wavefunction deformation
... ground state(s) [1–4]. For instance, a non-zero topological entanglement entropy γ in the ground state indicates the presence of TO and is a measure of the total quantum dimension of the underlying anyonic system [4, 5]. The braiding statistics of anyons in the theory is another such universal prope ...
... ground state(s) [1–4]. For instance, a non-zero topological entanglement entropy γ in the ground state indicates the presence of TO and is a measure of the total quantum dimension of the underlying anyonic system [4, 5]. The braiding statistics of anyons in the theory is another such universal prope ...
Introduction - The Purposes and Usefulness of
... Dimensional variables are defined as dimensional quantities that change or vary in the problem. For the simple differential equation given in Eq. 7–4, there are two dimensional variables: z (dimension of length) and t (dimension of time). Nondimensional (or dimensionless) variables are defined as qu ...
... Dimensional variables are defined as dimensional quantities that change or vary in the problem. For the simple differential equation given in Eq. 7–4, there are two dimensional variables: z (dimension of length) and t (dimension of time). Nondimensional (or dimensionless) variables are defined as qu ...
Quantum Transition
... Time Evolution of Quantum States In quantum mechanics, one in general deals with two kinds of problems. One is to determine all possible states of a system. This is possible only if the Hamiltonian of the system is time independent, that is, the potentials or forces do not vary from time to ti ...
... Time Evolution of Quantum States In quantum mechanics, one in general deals with two kinds of problems. One is to determine all possible states of a system. This is possible only if the Hamiltonian of the system is time independent, that is, the potentials or forces do not vary from time to ti ...
Critical Nuclear Charges for N-Electron Atoms
... 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 ...
... 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 ...
Chapter 11 Coordination Chemistry III: Electronic Spectra
... 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 ...
... 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
... 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. ...
... 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. ...
Quantum Computation and Statistical Physics
... 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 ...
... 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
... 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 ...
... 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
... 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] ...
... 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
... 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 ...
... 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
... 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 ...
... 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 ...