共查询到20条相似文献,搜索用时 0 毫秒
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Johann Summhammer 《International Journal of Theoretical Physics》1994,33(1):171-178
We are looking for a way of combining experimentally determined probabilities that should yield maximum predictive power. This concept is defined as permitting calculation of the accuracy of future experimental results solely on the basis of the number of runs whose data will serve as input for making the prediction. Each probability is transformed to an associated variable whose uncertainty interval depends only on the amount of data and strictly decreases with it. We find that for a probability which is a function of two other probabilities maximum predictive power is achieved when linearly summing their associated variables and transforming back to a probability. This recovers the quantum mechanical superposition principle. 相似文献
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Sylvia Pulmannová 《Communications in Mathematical Physics》1976,49(1):47-51
A new definition of the superposition principle in quantum logics is given, which enables us to define the sectors. It is shown that the superposition principle holds only in the irreducible quantum logics. 相似文献
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Robert Alicki 《Physics letters. A》1984,103(5):247-249
It is argued that the impossibility of observing coherent superpositions of certain macroscopically distinguishable quantum states is a combined effect of collective dissipation processes generated by an interaction of the N-particle system with external quantum fields and a “coarse-grained” character of real measurements. A simple model involving a quantum dynamical semigroup is discussed. 相似文献
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We propose an optoelectronic image encryption and decryption technique based on coherent superposition principle and digital holography. With the help of a chaotic random phase mask (CRPM) that is generated by using logistic map, a real-valued primary image is encoded into a phase-only version and then recorded as an encoded hologram. As for multiple-image encryption, only one digital hologram is to be transmitted as the encrypted result by using the multiplexing technique changing the reference wave angle. The bifurcation parameters, the initial values for the logistic maps, the number of the removed elements and the reference wave parameters are kept and transmitted as private keys. Both the encryption and decryption processes can be implemented in opto-digital manner or fully digital manner. Simulation results are given for testing the feasibility of the proposed approach. 相似文献
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Finite difference time domain (FDTD) method is adopted to build a Bessel beams simulation model according to homogeneousness and linearity of the Maxwell equations in source-free region. Validation for this model is confirmed by comparing the simulation results with the theoretical results solved with a vector Helmholtz equation in free space and good agreement with maximum error 2% has been demonstrated. It is indicated that FDTD could be an effective approach to analyze other complicated models of Bessel beams in source-free region by means of superposition principle. 相似文献
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Mioara Mugur-Schachter 《International Journal of Theoretical Physics》1992,31(9):1715-1751
An integrated view concerning the probabilistic organization of quantum mechanics is first obtained by systematic confrontation of the Kolmogorov formulation of the abstract theory of probabilities with the quantum mechanical representationand its factual counterparts. Because these factual counterparts possess a peculiar space-time structure stemming from the operations by which the observer produces the studied states (operations of state preparation) and the qualifications of these (operations of measurement), the approach brings forth probability-trees, complex constructs with treelike space-time support. Though it is strictly entailed by confrontation with the abstract theory of probabilities as it now stands, the construct of a quantum mechanical probability treetransgresses this theory. It indicates the possibility of an extended abstract theory of probabilities: Quantum mechanics appears to be neither a normal probabilistic theory nor an abnormal one, but a pioneering particular realization of afuture extended abstract theory of probabilities. The integrated perception of the probabilistic organization of quantum mechanics removes the current identifications of spectral decompositions of one state vector, with superpositions of several state vectors. This leads to the definition of operators of state preparation and of the calculus with these and to a clear understanding of the physical significance of the principle of superposition. Furthermore, a complement to the quantum theory of measurements is obtained. 相似文献
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There are four reasons why our present knowledge and understanding of quantum mechanics can be regarded as incomplete. (1)
The principle of linear superposition has not been experimentally tested for position eigenstates of objects having more than
about a thousand atoms. (2) There is no universally agreed upon explanation for the process of quantum measurement. (3) There
is no universally agreed upon explanation for the observed fact that macroscopic objects are not found in superposition of
position eigenstates. (4) Most importantly, the concept of time is classical and hence external to quantum mechanics: there
should exist an equivalent reformulation of the theory which does not refer to an external classical time. In this paper we
argue that such a reformulation is the limiting case of a nonlinear quantum theory, with the nonlinearity becoming important
at the Planck mass scale. Such a nonlinearity can provide insights into the aforesaid problems. We use a physically motivated
model for a nonlinear Schr?dinger equation to show that nonlinearity can help in understanding quantum measurement. We also
show that while the principle of linear superposition holds to a very high accuracy for atomic systems, the lifetime of a
quantum superposition becomes progressively smaller, as one goes from microscopic to macroscopic objects. This can explain
the observed absence of position superpositions in macroscopic objects (lifetime is too small). It also suggests that ongoing
laboratory experiments may be able to detect the finite superposition lifetime for mesoscopic objects in the near future. 相似文献
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《Journal of Nonlinear Mathematical Physics》2013,20(2):188-229
Abstract In the framework of a multidimensional superposition principle involving an analytical approach to nonlinear PDEs, a numerical technique for the analysis of soliton invariant manifolds is developed. This experimental methodology is based on the use of computer simulation data of soliton–perturbation interactions in a system under investigation, and it allows the determination of the dimensionality of similar manifolds and partially (in the small amplitude perturbation limit) to restore the related superposition formulae. Its application for cases of infinite dimensionality, and the question of approximation by lower dimensional manifolds and, respectively, by superposition formulae of a lower order are considered as well. The ideas and implementation details are illustrated and verified by using examples with the integrable, MKdV and KdV equations, and also nonintegrable, Kawahara and Regularized Long Waves equation, soliton models. 相似文献
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C. Wolf 《Foundations of Physics》1990,20(1):133-137
Using a neutron interferometer and the phase difference calculated from spatial discrete quantum mechanics, a test for discrete quantum theory may implemented by measuring the X spin polarization and its variation with position. 相似文献
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Robert L. Anderson 《Letters in Mathematical Physics》1980,4(1):1-7
A definite theorem due to Lie which group theoretically characterizes those systems of ordinary differential equations which possess nonlinear superposition principles is employed along with an observation by Lie on the exponentiated form of a fibered Lie algebra to obtain an explicit expression for the Vessiot-Guldberg-Lie nonlinear superposition principle admitted by n-coupled Riccati equations of the projective type. This also, immediately, yields an explicit expression for the generalized cross-ratio for the projective group in n-dimensions.Reported at the Georgia Workshop in Mathematical Physics, November 26–28, 1979, UGA, Athens, Georgia. 相似文献
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《Journal of sound and vibration》2006,289(1-2):54-65
Stability in transverse parametric vibration of axially accelerating viscoelastic beams is investigated. The governing equation is derived from Newton's second law, Boltzmann's superposition principle, and the geometrical relation. When the axial speed is a constant mean speed with small harmonic variations, the governing equation can be treated as a continuous gyroscopic system with small periodically parametric excitations and a damping term. The method of multiple scales is applied directly to the governing equation without discretization. The stability conditions are obtained for combination and principal parametric resonance. Numerical examples demonstrate that the increase of the viscosity coefficient causes the lager instability threshold of speed fluctuation amplitude for given detuning parameter and smaller instability range of the detuning parameter for given speed fluctuation amplitude. The instability region is much bigger in lower order principal resonance than that in the higher order. 相似文献
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A. Rauh R. Hinterhölzl K. Drechsler 《The European physical journal. Special topics》2012,206(1):15-24
In the automotive industry, finite element simulation is widely used to ensure crashworthiness. Mechanical material data over
wide strain rate and temperature ranges are required as a basis. This work proposes a method reducing the cost of mechanical
material characterization by using the time-temperature superposition principle on elastomeric adhesives. The method is based
on the time and temperature interdependence which is characteristic for mechanical properties of polymers. Based on the assumption
that polymers behave similarly at high strain rates and at low temperatures, a temperature-dominated test program is suggested,
which can be used to deduce strain rate dependent material behavior at different reference temperatures. The temperature shift
factor is found by means of dynamic mechanical analysis according to the WLF-equation, named after Williams, Landel and Ferry.
The principle is applied to the viscoelastic properties as well as to the failure properties of the polymer. The applicability
is validated with high strain rate tests. 相似文献