Quantum and classical statistics of the electromagnetic zero
... A classical electromagnetic zero-point field ~ZPF! analog of the vacuum of quantum field theory has formed the basis for theoretical investigations in the discipline known as random or stochastic electrodynamics ~SED!. In SED the statistical character of quantum measurements is imitated by the intro ...
... A classical electromagnetic zero-point field ~ZPF! analog of the vacuum of quantum field theory has formed the basis for theoretical investigations in the discipline known as random or stochastic electrodynamics ~SED!. In SED the statistical character of quantum measurements is imitated by the intro ...
A Model on Genome Evolution
... describes the evolution of the genomic statistical state from t0 to t’. When t '− t0 > L the virtual variations δ xi ( t ) may lead to δ S >> L and all terms in the summation (7) would be canceled each other due to phase interference apart from those in the vicinity of classical trajectory where S t ...
... describes the evolution of the genomic statistical state from t0 to t’. When t '− t0 > L the virtual variations δ xi ( t ) may lead to δ S >> L and all terms in the summation (7) would be canceled each other due to phase interference apart from those in the vicinity of classical trajectory where S t ...
The Dirac equation in an external magnetic field in the context
... clear it could not be the ultimate word on the topic: indeed it is not invariant with respect to the Lorentz transformations of special relativity (i.e. it has not the same form in every inertial reference frame, as all law of physics should), while it can easily be shown to be so under a galilean c ...
... clear it could not be the ultimate word on the topic: indeed it is not invariant with respect to the Lorentz transformations of special relativity (i.e. it has not the same form in every inertial reference frame, as all law of physics should), while it can easily be shown to be so under a galilean c ...
Chapter 4 Energy and Stability
... motion of the system, but we can calculate its energy instead; the steps above then lead us to the equation of motion. To calculate the frequency of small oscillations about stable equilibria, it is necessary to consider a small disturbance and expand the equation of motion using Taylor Series as in ...
... motion of the system, but we can calculate its energy instead; the steps above then lead us to the equation of motion. To calculate the frequency of small oscillations about stable equilibria, it is necessary to consider a small disturbance and expand the equation of motion using Taylor Series as in ...
V.Andreev, N.Maksimenko, O.Deryuzhkova, Polarizability of the
... In the rest frame of the particle, we have the following relations: ...
... In the rest frame of the particle, we have the following relations: ...
Many_1 - USU physics
... pointing, spin vectors, and the direction of deflection in each device is determined by the sign of the dot product between the spin vectors and the respective z -axes. Suppose further that particle A deflects up. In this scenario, its spin vector must have been somewhere within the semi-circle abo ...
... pointing, spin vectors, and the direction of deflection in each device is determined by the sign of the dot product between the spin vectors and the respective z -axes. Suppose further that particle A deflects up. In this scenario, its spin vector must have been somewhere within the semi-circle abo ...
1210.0414v1
... However, it has been discovered that entanglement is not the only kind of useful nonclassical correlation present in quantum systems. Numerous quantifiers of quantum correlations have been proposed to reveal the non-classical correlations that cannot be captured by entanglement measures [3]. Quantum ...
... However, it has been discovered that entanglement is not the only kind of useful nonclassical correlation present in quantum systems. Numerous quantifiers of quantum correlations have been proposed to reveal the non-classical correlations that cannot be captured by entanglement measures [3]. Quantum ...
PPT - Jung Y. Huang
... Scalar diffraction theory and Fourier optics are usually described in terms of waves, but they can also be described, with equal rigor, in terms of rays. This may seem surprising, because rays are constructs more typically associated with geometric optics, as opposed to wave optics. In geometric opt ...
... Scalar diffraction theory and Fourier optics are usually described in terms of waves, but they can also be described, with equal rigor, in terms of rays. This may seem surprising, because rays are constructs more typically associated with geometric optics, as opposed to wave optics. In geometric opt ...
Coherent states
... Obtain a differential equation for the function v(t) and show that its real and imaginary parts correspond to the classical Hamilton equations dq/dt = p,dp/dt = F(t). ...
... Obtain a differential equation for the function v(t) and show that its real and imaginary parts correspond to the classical Hamilton equations dq/dt = p,dp/dt = F(t). ...
Dyson equation for diffractive scattering
... G共rជ2 , rជ1 , k兲 in Eq. 共2.2兲 by the semiclassical Green’s propagator GSC共rជ2 , rជ1 , k兲. The standard semiclassical Green’s propagator GSC共rជ2 , rជ1 , k兲, the Fourier-Laplace transform of the van Vleck propagator evaluated in stationary phase approximation 共SPA兲, describes the probability amplitude ...
... G共rជ2 , rជ1 , k兲 in Eq. 共2.2兲 by the semiclassical Green’s propagator GSC共rជ2 , rជ1 , k兲. The standard semiclassical Green’s propagator GSC共rជ2 , rជ1 , k兲, the Fourier-Laplace transform of the van Vleck propagator evaluated in stationary phase approximation 共SPA兲, describes the probability amplitude ...
Quantum Computers, Factoring, and Decoherence
... ment, then decoherence results in no adverse effects when measuring the second label of |ψ̃2 i. Such a design would be optimal. We thus focus on the effects of decoherence on the first label, by suppressing the second label, and tracing over the environment to obtain the reduced density ...
... ment, then decoherence results in no adverse effects when measuring the second label of |ψ̃2 i. Such a design would be optimal. We thus focus on the effects of decoherence on the first label, by suppressing the second label, and tracing over the environment to obtain the reduced density ...
Chapter 3
... in a familiar shorthand, where H(q,p) is the classical Hamiltonian of the system, and H(q,p) - E = 0 is the classical energy integral. The fourth (S1926e) gave the more general equation for the time-dependent wave-function Ψ, namely ih / t =H(q,p} Ψ φ, or Ψ. Schrödinger himself did not write the ...
... in a familiar shorthand, where H(q,p) is the classical Hamiltonian of the system, and H(q,p) - E = 0 is the classical energy integral. The fourth (S1926e) gave the more general equation for the time-dependent wave-function Ψ, namely ih / t =H(q,p} Ψ φ, or Ψ. Schrödinger himself did not write the ...