Solving Classical Field Equations 1. The Klein
... example in Quantum electrodynamics, there is an electron field denoted by a straight line and a photon field denoted by a wavy line. There is a cubic term in the action which reads eψ̄γ µ Aµ ψ. Here ψ is the electron field, Aµ is the photon field (which is a fancy name for the vector potential of el ...
... example in Quantum electrodynamics, there is an electron field denoted by a straight line and a photon field denoted by a wavy line. There is a cubic term in the action which reads eψ̄γ µ Aµ ψ. Here ψ is the electron field, Aµ is the photon field (which is a fancy name for the vector potential of el ...
Extension of the Homogeneous Electron Gas Theory to First
... which is the carrier density of the free-electron gas given in solid-state textbooks [1]. Therefore, it is shown in this section that the homogeneous electron gas is the low-field limit of the first-order homogeneous electron gas of this work, and that the first-order theory reduces to the classical ...
... which is the carrier density of the free-electron gas given in solid-state textbooks [1]. Therefore, it is shown in this section that the homogeneous electron gas is the low-field limit of the first-order homogeneous electron gas of this work, and that the first-order theory reduces to the classical ...
BODY PERTURBATIVE AND GREEN`S
... to what is now known as Dyson orbitals [7, 8]. It has been known for quite some time that the Brueckner orbitals leads to the correct binding energy [2, 9, 10], which is also the case for the Dyson orbitals [11]. Nevertheless, there has been some confusion lately in the quantum-chemistry community a ...
... to what is now known as Dyson orbitals [7, 8]. It has been known for quite some time that the Brueckner orbitals leads to the correct binding energy [2, 9, 10], which is also the case for the Dyson orbitals [11]. Nevertheless, there has been some confusion lately in the quantum-chemistry community a ...
Adiabatic Preparation of Topological Order
... recognize this Hamiltonian as the quantum Hamiltonian for the 2 1-dimensional Ising model [21]. This model has two phases with a well understood second order QPT separating them. The gap between the ground state and the first excited state of this model are known to scale at the critical point a ...
... recognize this Hamiltonian as the quantum Hamiltonian for the 2 1-dimensional Ising model [21]. This model has two phases with a well understood second order QPT separating them. The gap between the ground state and the first excited state of this model are known to scale at the critical point a ...
Treating some solid state problems with the Dirac equation
... As an illustration, we applied the method described above for an electron in a onedimensional GaAs/Al0.3 Ga0.7 As heterostructure. For the sake of comparison with previous results we take a square well, as sketched in figure 2. The electron effective mass is 0.67m0 and 0.86m0 for GaAs and Al0.3 Ga0. ...
... As an illustration, we applied the method described above for an electron in a onedimensional GaAs/Al0.3 Ga0.7 As heterostructure. For the sake of comparison with previous results we take a square well, as sketched in figure 2. The electron effective mass is 0.67m0 and 0.86m0 for GaAs and Al0.3 Ga0. ...
P410M: Relativistic Quantum Fields
... In hindsight this is not so surprising. We regarded our field as an infinite of harmonic oscillators. Since the ground state of the harmonic oscillator is non-zero, we expect that our vacuum energy picks up infinitely many such contributions and becomes infinite. ...
... In hindsight this is not so surprising. We regarded our field as an infinite of harmonic oscillators. Since the ground state of the harmonic oscillator is non-zero, we expect that our vacuum energy picks up infinitely many such contributions and becomes infinite. ...
- Free Documents
... negative. so we know that m are maxima. The BCS Hamiltonian is then. ii a lt . we can divide through by c. because c is positive. b. the discriminant b a is negative for b lt a. For b gt a. a minimum at m . We can understand the nature of the solutions by looking at the second derivative. so in this ...
... negative. so we know that m are maxima. The BCS Hamiltonian is then. ii a lt . we can divide through by c. because c is positive. b. the discriminant b a is negative for b lt a. For b gt a. a minimum at m . We can understand the nature of the solutions by looking at the second derivative. so in this ...
2.2 Schrödinger`s wave equation
... A Helmholtz wave equation If we are considering only waves of one wavelength for the moment i.e., monochromatic waves we can choose a Helmholtz wave equation d 2 ...
... A Helmholtz wave equation If we are considering only waves of one wavelength for the moment i.e., monochromatic waves we can choose a Helmholtz wave equation d 2 ...
Non-Equilibrium Quantum Many-Body Systems: Universal Aspects
... M. Eckstein, M. Kollar and P. Werner, Phys. Rev. Lett. 103, 056403 (2009); Phys. Rev. B 81, 115131 (2010) Non-equilibrium DMFT with real time QMC for interaction quench in half-filled Hubbard model ...
... M. Eckstein, M. Kollar and P. Werner, Phys. Rev. Lett. 103, 056403 (2009); Phys. Rev. B 81, 115131 (2010) Non-equilibrium DMFT with real time QMC for interaction quench in half-filled Hubbard model ...
Equidistant spectra of anharmonic oscillators
... It is also knownlx2 that in quantum mechanics the transition to anharmonic oscillators generally results in nonequidistant spectra and in the spreading of arbitrary wave packets, while in classical mechanics this leads to nonisochronous oscillations. But it should not be assumed that there is a one- ...
... It is also knownlx2 that in quantum mechanics the transition to anharmonic oscillators generally results in nonequidistant spectra and in the spreading of arbitrary wave packets, while in classical mechanics this leads to nonisochronous oscillations. But it should not be assumed that there is a one- ...
Properties of the Von Neumann entropy
... There exists more information in the whole classical system than any part of it. But for quantum systems and Von Neumann entropy, we could have S(ρA) = S(ρB ) and S(ρAB ) = 0 in the case of a bipartite pure state. That is, for the whole system the state is completely known, yet considering only one ...
... There exists more information in the whole classical system than any part of it. But for quantum systems and Von Neumann entropy, we could have S(ρA) = S(ρB ) and S(ρAB ) = 0 in the case of a bipartite pure state. That is, for the whole system the state is completely known, yet considering only one ...