Chapter 1 Elementary solutions of the classical wave equation
... edge. This is the same which happens with the electron’s wave function, both electrically in the form of an effective current surrounding the wave function, as well as inertially in the form of an effective momentum flow around the wave function. Figure (1.5) depicts the spin-density at the left sid ...
... edge. This is the same which happens with the electron’s wave function, both electrically in the form of an effective current surrounding the wave function, as well as inertially in the form of an effective momentum flow around the wave function. Figure (1.5) depicts the spin-density at the left sid ...
Classical continuum theory of the dipole-forbidden collective excitations in quantum... W. L. Schaich M. R. Geller and G. Vignale
... grating as a flat 2D conductor whose ~local! resistivity varies periodically in the y direction. To enhance the signal strength and simplify the analysis, we assume that the single wire studied before has been periodically repeated in the y direction with the same period d.2W that the grating has. T ...
... grating as a flat 2D conductor whose ~local! resistivity varies periodically in the y direction. To enhance the signal strength and simplify the analysis, we assume that the single wire studied before has been periodically repeated in the y direction with the same period d.2W that the grating has. T ...
Nonexistence of the Classical Trajectories in the Stern
... Nonexistence of the Classical Trajectories . . . It is worth noting: the states Eq. (1) and Eq. (3) represent the idealizations of the realistic quantum states. Actually, the realistic physical situations are described by the time dependent states that, in turn, makes the task of designing an exper ...
... Nonexistence of the Classical Trajectories . . . It is worth noting: the states Eq. (1) and Eq. (3) represent the idealizations of the realistic quantum states. Actually, the realistic physical situations are described by the time dependent states that, in turn, makes the task of designing an exper ...
Quantum Machine Learning Algorithms: Read the
... computer can estimate hu|F |vi just as easily as it can estimate hu|vi, in only a logarithmic number of steps. To put it differently, if one of two vectors that we want to compare is given to us not directly, but only via its Fourier transform, then we really do get an exponential quantum speedup in ...
... computer can estimate hu|F |vi just as easily as it can estimate hu|vi, in only a logarithmic number of steps. To put it differently, if one of two vectors that we want to compare is given to us not directly, but only via its Fourier transform, then we really do get an exponential quantum speedup in ...
Aalborg Universitet
... systems which allow local self-interactions, but with no real mathematical substance, also due to the fact that many techniques were not yet available at this time. A first mathematically sound derivation of the L-B formula on a discrete model was obtained in [12] and further investigated in [13]. I ...
... systems which allow local self-interactions, but with no real mathematical substance, also due to the fact that many techniques were not yet available at this time. A first mathematically sound derivation of the L-B formula on a discrete model was obtained in [12] and further investigated in [13]. I ...
A violation of the uncertainty principle implies a violation of the
... We would like to emphasize that thermodynamical cycles have been useful before to examine foundational questions and our cycle is indeed similar to the ones given in refs 25–28. Our contribution lies in the insight that a violation of uncertainty relation allows for the construction of a similar (bu ...
... We would like to emphasize that thermodynamical cycles have been useful before to examine foundational questions and our cycle is indeed similar to the ones given in refs 25–28. Our contribution lies in the insight that a violation of uncertainty relation allows for the construction of a similar (bu ...
Quantum Speed-ups for Gibbs Sampling
... thm There is a quantum algorithm for solving SDPs running in time Õ(n1/2 m1/2 r δ-2 R2) Input: n x n matrices r-sparse C, A1, ..., Am and numbers b1, ..., bm Output: Samples from y/||y||2 and ||y||2 Q. Samples from X/tr(X) and tr(X) Oracle Model: We assume there’s an oracle that outputs a chosen non ...
... thm There is a quantum algorithm for solving SDPs running in time Õ(n1/2 m1/2 r δ-2 R2) Input: n x n matrices r-sparse C, A1, ..., Am and numbers b1, ..., bm Output: Samples from y/||y||2 and ||y||2 Q. Samples from X/tr(X) and tr(X) Oracle Model: We assume there’s an oracle that outputs a chosen non ...
Unlocking the Lagrangian.
... turns out the operation works only because of a compensation of errors. The equation has to be pushed to work. The Lagrangian has sometimes been interpreted as the total energy of a field, so that it really is like adding the future to the present. The kinetic energy is energy the particle already h ...
... turns out the operation works only because of a compensation of errors. The equation has to be pushed to work. The Lagrangian has sometimes been interpreted as the total energy of a field, so that it really is like adding the future to the present. The kinetic energy is energy the particle already h ...
Quantum dynamics of open systems governed by the Milburn equation
... the dynamics. As seen from Fig. 1, for small values of G the frequency of Rabi oscillations does not depend on g , but the amplitude of these oscillations become smaller. For g small enough ~in our picture g / v A 50.01, i.e., in this case g 5G) the Rabi oscillations become completely suppressed and ...
... the dynamics. As seen from Fig. 1, for small values of G the frequency of Rabi oscillations does not depend on g , but the amplitude of these oscillations become smaller. For g small enough ~in our picture g / v A 50.01, i.e., in this case g 5G) the Rabi oscillations become completely suppressed and ...
Transition form factor of the hydrogen Rydberg atom
... matrix element for the electromagnetic transition between the atomic states can be reduced to Eq. ~1.1! as well. Direct calculation of the matrix element ~1.1!, even with hydrogenic wave functions, is laborious as the wave functions of highly excited states oscillate very rapidly and many matrix ele ...
... matrix element for the electromagnetic transition between the atomic states can be reduced to Eq. ~1.1! as well. Direct calculation of the matrix element ~1.1!, even with hydrogenic wave functions, is laborious as the wave functions of highly excited states oscillate very rapidly and many matrix ele ...
