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... Suppose that S is an oriented surface with unit normal vector n, and imagine a fluid with density (x, y, z) and velocity field v(x, y, z) flowing through S. (Think of S as an imaginary surface that doesn’t impede the fluid flow, like a fishing net across a stream.) Then the rate of flow (mass per ...
... Suppose that S is an oriented surface with unit normal vector n, and imagine a fluid with density (x, y, z) and velocity field v(x, y, z) flowing through S. (Think of S as an imaginary surface that doesn’t impede the fluid flow, like a fishing net across a stream.) Then the rate of flow (mass per ...
Experimental Creation and Measurement of Motional Quantum
... will be justi ed below. First we assume that the internal degrees of freedom of the trapped atom are suf ciently described by a two-level system, second that the motion of the atom bound in the trap is harmonic in all three dimensions, and nally that the vibrational level spacings (trap frequencies ...
... will be justi ed below. First we assume that the internal degrees of freedom of the trapped atom are suf ciently described by a two-level system, second that the motion of the atom bound in the trap is harmonic in all three dimensions, and nally that the vibrational level spacings (trap frequencies ...
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... Suppose that S is an oriented surface with unit normal vector n, and imagine a fluid with density (x, y, z) and velocity field v(x, y, z) flowing through S. (Think of S as an imaginary surface that doesn’t impede the fluid flow, like a fishing net across a stream.) Then the rate of flow (mass per ...
... Suppose that S is an oriented surface with unit normal vector n, and imagine a fluid with density (x, y, z) and velocity field v(x, y, z) flowing through S. (Think of S as an imaginary surface that doesn’t impede the fluid flow, like a fishing net across a stream.) Then the rate of flow (mass per ...
Theory of shot noise in high-current space-charge-limited
... where the Dvac共p , x兲 term is the longitudinal self-consistent field describing the screened Coulomb interaction between two charges at position x and x⬘, and p is the wave vector along the x direction. The formulation is basically by solving the screened Poisson equation in its Green’s function for ...
... where the Dvac共p , x兲 term is the longitudinal self-consistent field describing the screened Coulomb interaction between two charges at position x and x⬘, and p is the wave vector along the x direction. The formulation is basically by solving the screened Poisson equation in its Green’s function for ...
Decoherence and the Transition from Quantum to Classical
... the Universe described by |ψ〉 evolves into a state containing many alternatives that are never seen to coexist in our world. Moreover, while the ultimate evidence for the choice of one alternative resides in our elusive “consciousness,” there is every indication that the choice occurs much before co ...
... the Universe described by |ψ〉 evolves into a state containing many alternatives that are never seen to coexist in our world. Moreover, while the ultimate evidence for the choice of one alternative resides in our elusive “consciousness,” there is every indication that the choice occurs much before co ...
Optical and Quantum Communications—J. H. Shapiro, N. C. Wong
... current work we have observed quantum interference between the single-beam downconverted photons of a continuous-wave (cw) PPKTP parametric downconverter with a visibility of 99% and a measured coincidence flux of 300/s/mW of pump. We have also measured the Clauser, Horne, Shimony, and Holt (CHSH) f ...
... current work we have observed quantum interference between the single-beam downconverted photons of a continuous-wave (cw) PPKTP parametric downconverter with a visibility of 99% and a measured coincidence flux of 300/s/mW of pump. We have also measured the Clauser, Horne, Shimony, and Holt (CHSH) f ...
First integrals. Reduction. The 2-body problem.
... the vertical and a very small initial velocity. We then get (exercise) t − t0 = 1.04s. Qualitative Description of the Motion We now indicate some general, semi-qualitative techniques for analyzing the motion of autonomous systems with one degree of freedom We are still assuming that the Lagrangian h ...
... the vertical and a very small initial velocity. We then get (exercise) t − t0 = 1.04s. Qualitative Description of the Motion We now indicate some general, semi-qualitative techniques for analyzing the motion of autonomous systems with one degree of freedom We are still assuming that the Lagrangian h ...
Steady-state entanglement of two atoms created by classical driving
... So far we have discussed the Lamb-Dicke limit. The results of numerical calculations beyond the Lamb-Dicke limit for different values of the classical driving field are shown in Fig. 1. Both cooperations, the dipole coupling and collective decay, are oscillating functions of distance 关Eqs. 共3兲 and 共 ...
... So far we have discussed the Lamb-Dicke limit. The results of numerical calculations beyond the Lamb-Dicke limit for different values of the classical driving field are shown in Fig. 1. Both cooperations, the dipole coupling and collective decay, are oscillating functions of distance 关Eqs. 共3兲 and 共 ...
classical theoretical physics II
... To make this picture quantitative, consider a current loop carrying a current I. We may think of this loop as being consecutively I B built up by importing small current loops (carrying current I) from infinity (see the figure.) The currents flowing along adjacent segments of these loops will eventu ...
... To make this picture quantitative, consider a current loop carrying a current I. We may think of this loop as being consecutively I B built up by importing small current loops (carrying current I) from infinity (see the figure.) The currents flowing along adjacent segments of these loops will eventu ...
Breakdown of a topological phase
... Continuous quantum phase transition between topological phase and classically ordered phase (3D Ising universality class). ...
... Continuous quantum phase transition between topological phase and classically ordered phase (3D Ising universality class). ...
A Quantum Structure Description of the Liar Paradox
... Starting from the initial state Ψ0 the constructed dynamical evolution leaves the system unchanged; Ψ0 is a time invariant state: Ψ0 (t) = Ψ0 As soon as a measurement for truth or falsehood on either of the sentences is made, the dynamical evolution sets of in a cyclical mode, attributing alternativ ...
... Starting from the initial state Ψ0 the constructed dynamical evolution leaves the system unchanged; Ψ0 is a time invariant state: Ψ0 (t) = Ψ0 As soon as a measurement for truth or falsehood on either of the sentences is made, the dynamical evolution sets of in a cyclical mode, attributing alternativ ...
Qualification Exam: Classical Mechanics
... ring, the ring being free to rotate about its vertical diameter, which is fixed. Let m be the mass of the rod and 2a its length; let M be the mass of the ring and r its radius; let θ be the inclination of the rod to the horizontal, and φ the azimuth of the ring referred to some fixed vertical plane, ...
... ring, the ring being free to rotate about its vertical diameter, which is fixed. Let m be the mass of the rod and 2a its length; let M be the mass of the ring and r its radius; let θ be the inclination of the rod to the horizontal, and φ the azimuth of the ring referred to some fixed vertical plane, ...
APPENDIX A
... in consideration brought to a uniform translational motion, or similarly the principal mechanism of the end results of the General Theory of Relativity, were this object embedded in a gravitational field (given that, in either case, it is question of a “mass” change, which can well be considered as ...
... in consideration brought to a uniform translational motion, or similarly the principal mechanism of the end results of the General Theory of Relativity, were this object embedded in a gravitational field (given that, in either case, it is question of a “mass” change, which can well be considered as ...
