CDM article on quantum chaos - Department of Mathematics
... A final direction we survey is the applications of quantum ergodicity to problems in nodal geometry. Given the large amount of work on matrix elements hAϕj , ϕj i, it is natural for geometric or PDE analysts to ask how one can use such matrix elements to study classical problems on eigenfunctions su ...
... A final direction we survey is the applications of quantum ergodicity to problems in nodal geometry. Given the large amount of work on matrix elements hAϕj , ϕj i, it is natural for geometric or PDE analysts to ask how one can use such matrix elements to study classical problems on eigenfunctions su ...
... only for the ground state of the quantum system, PIMC is a nite temperature method, in which the system at the thermodynamic equilibrium is simulated considering a propagation in con guration space for a nite imaginary time. However, the same formalism can be extended also to zero temperature calc ...
Wave in disordered media and localisation phenomena
... because the quenched condensation yields homogeneous films with high resistances. The points are measured. The spin-orbit scattering of the pure Mg is determined as discussed above. The different experimental curves for different temperatures are theoretically distinguished by their different H, (i. ...
... because the quenched condensation yields homogeneous films with high resistances. The points are measured. The spin-orbit scattering of the pure Mg is determined as discussed above. The different experimental curves for different temperatures are theoretically distinguished by their different H, (i. ...
letter
... turns out that this is a vector quantity which points in a direction perpendicular to the plane of the rotation. The x-, y- and z-components of this vector can be specified, and these are the angular momenta in the x-, y- and z-directions. In quantum mechanics, there are operators which represent th ...
... turns out that this is a vector quantity which points in a direction perpendicular to the plane of the rotation. The x-, y- and z-components of this vector can be specified, and these are the angular momenta in the x-, y- and z-directions. In quantum mechanics, there are operators which represent th ...
Numerical analysis of transmission coefficient, LDOS, and DOS in
... tight-binding methods [23]. It can be used to calculate the electronic properties of open quantum systems such as the transmission coefficient and local density of states for correct modeling of nanoscale device behavior [24]. ...
... tight-binding methods [23]. It can be used to calculate the electronic properties of open quantum systems such as the transmission coefficient and local density of states for correct modeling of nanoscale device behavior [24]. ...
Quantum many-particle electron transport in time-dependent systems with Bohmian trajectories by Alfonso Alarc´
... Date of defense: April 2011 ...
... Date of defense: April 2011 ...
Quantum dynamics in strong fluctuating fields - Physik Uni
... quasi-periodic molecular structures like those formed by protein -helices [10–13], or DNA’s [14–18] many quantum states are generally required to describe charge ...
... quasi-periodic molecular structures like those formed by protein -helices [10–13], or DNA’s [14–18] many quantum states are generally required to describe charge ...
Entanglement and Tensor Network States - cond
... it being a pure state, but this is not true for the entropy of reduced states. If the ground state is unique, so if it is a pure state, which we are assuming here, this entropy reflects the degree of entanglement [9] of the system A with respect to its complement. If A and B are in a product state a ...
... it being a pure state, but this is not true for the entropy of reduced states. If the ground state is unique, so if it is a pure state, which we are assuming here, this entropy reflects the degree of entanglement [9] of the system A with respect to its complement. If A and B are in a product state a ...
n - at www.arxiv.org.
... In recent years, localization of energy in nonlinear lattices has been the subject of intensive theoretical and experimental investigations [18, 19, 20, 21, 22]. Many of them have dealt with the dynamics of Discrete Nonlinear Schrödinger (DNLS) equation. That is why we believe that the results obta ...
... In recent years, localization of energy in nonlinear lattices has been the subject of intensive theoretical and experimental investigations [18, 19, 20, 21, 22]. Many of them have dealt with the dynamics of Discrete Nonlinear Schrödinger (DNLS) equation. That is why we believe that the results obta ...
DIPLOMA THESIS
... these structures is GaAs/GaAlAs thanks to its properties, e.g. practically the same lattice constant of GaAs and AlAs. Typical parameters of AlGaAs based semiconductors are listed in Table 2.1. Perpendicular magnetic field is studied the most, since Landau levels appear (if we neglect electron-hole ...
... these structures is GaAs/GaAlAs thanks to its properties, e.g. practically the same lattice constant of GaAs and AlAs. Typical parameters of AlGaAs based semiconductors are listed in Table 2.1. Perpendicular magnetic field is studied the most, since Landau levels appear (if we neglect electron-hole ...
Between classical and quantum
... We will discuss these ideas in more detail below, and indeed our discussion of the relationship between classical and quantum mechanics will be partly historical. However, other than that it will be technical and mathematically rigorous. For the problem at hand is so delicate that in this area slopp ...
... We will discuss these ideas in more detail below, and indeed our discussion of the relationship between classical and quantum mechanics will be partly historical. However, other than that it will be technical and mathematically rigorous. For the problem at hand is so delicate that in this area slopp ...
Cavity Induced Interfacing of Atoms and Light
... restrict the cavity eigenmodes to geometrically stable Laguerre-Gaussian or HermiteGaussian modes. In most cases, just one of these modes is of interest, characterised by its mode function ψcav (r) and its resonance frequency ωcav . The state vector can therefore be expressed as a superposition of p ...
... restrict the cavity eigenmodes to geometrically stable Laguerre-Gaussian or HermiteGaussian modes. In most cases, just one of these modes is of interest, characterised by its mode function ψcav (r) and its resonance frequency ωcav . The state vector can therefore be expressed as a superposition of p ...
Applied Bohmian mechanics
... Abstract. Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like particles guided by wave functions. This review focuses on the use of nonrelativistic Bohmian mechanics to address practical problems, rather than on its interpretation. Although the Bohmian and standard ...
... Abstract. Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like particles guided by wave functions. This review focuses on the use of nonrelativistic Bohmian mechanics to address practical problems, rather than on its interpretation. Although the Bohmian and standard ...
Full-Text PDF
... acting as thermal and particle reservoirs. These electrodes are described within the thermodynamics limit. Initially, they are at their own equilibrium, characterized by two temperatures TL and TR , and by two chemical potentials µ L and µ R . Furthermore, we ignore the interaction between particles ...
... acting as thermal and particle reservoirs. These electrodes are described within the thermodynamics limit. Initially, they are at their own equilibrium, characterized by two temperatures TL and TR , and by two chemical potentials µ L and µ R . Furthermore, we ignore the interaction between particles ...
Photon-number-splitting versus cloning attacks in practical
... and Bob, that share a quantum channel and a classical authenticated channel 关1兴. Its security comes from the wellknown fact that the measurement of an unknown quantum state modifies the state itself: thus an eavesdropper on the quantum channel, Eve, cannot get information on the key without introduc ...
... and Bob, that share a quantum channel and a classical authenticated channel 关1兴. Its security comes from the wellknown fact that the measurement of an unknown quantum state modifies the state itself: thus an eavesdropper on the quantum channel, Eve, cannot get information on the key without introduc ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.