probability amplitude

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probability amplitude

[‚präb·ə′bil·əd·ē ′am·plə‚tüd]

(quantum mechanics)

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In the case of two subsystems, one factor is a wave function satisfying a regular schrdinger equation, while the other factor is a conditional probability amplitude satisfying a more complicated schrdinger-like equation with a non-local, non-linear and non-hermitian hamiltonian .

Factorizing the wave function of large quantum systems

The data generated from these measurements were used to plot cumulative probability amplitude and interevent interval graphs, with each distribution normalized to a maximal value of one.

Neonatal Propofol and Etomidate Exposure Enhance Inhibitory Synaptic Transmission in Hippocampal Cornus Ammonis 1 Pyramidal Neurons

The wave function is a complex-valued probability amplitude, and the probabilities for the possible results of measurements made on the system can be derived from it.

Understanding quantum mechanics using quantum holography

In the table, [[alpha].sub.1] and [[beta].sub.1] are the probability amplitude of global optimal solution, [d.sub.1] = [[alpha].sub.1] x [[beta].su.1] and [[xi].sub.1] = [tan.sup.-1]([[beta].sub.1]/[[alpha].sub.1]); [[alpha].sub.2] and [[beta].sub.2] are the probability amplitude of current solution, [d.sub.2] = [[alpha].sub.2]2 x [[beta].sub.2] and [[xi].sub.2] = [tan.sup.-1]([[beta].sub.2]/[[alpha].sub.2]).

The Analysis of the Concrete Gravity Dam's Foundation Uplift Pressure under the Function of Typhoon

where [alpha], [beta] are tow complex of probability amplitude of the corresponding state, where [[absolute value of a].sup.2] + [[absolute value of b].sup.2] = 1 ([[absolute value of a].sup.2] and [[absolute value of b].sup.2] represent the occurrence probabilities of qubit in the states of |0> and |1>, respectively).

An environmental-economic dispatch method for smart microgrids using VSS_QGA

Quantum genetic algorithm applies the probability amplitude of qubits to encode chromosome and uses quantum rotating gates to realize chromosomal updated operation.

Improved quantum genetic algorithm in application of scheduling engineering personnel

Here [u.sub.p](t) and stand for the excited-state and groundstate probability amplitudes of the qubit with the vacuum state of the PhC reservoir while [C.sub.[??]](t) is the probability amplitude of the photonic state at fc.

Dynamics of the energy relaxation and decoherence of a photon-atom bound state in an anisotropic photonic crystal

The essence of the Feynman path integral approach to quantum mechanics is in the probability amplitude (also known as the propagator or the Green function) K([x.sub.b], [t.sub.b]; [x.sub.a], [t.sub.a]) for a particle starting from a position [x.sub.a] at time [t.sub.a] to reach a position [x.sub.b] at a later time [t.sub.b], which arises from the contributions from all trajectories from [x.sub.a] to [x.sub.b]:

Time fractional Schrodinger equation revisited

A (quaternionic) probability amplitude distribution that is attached to the current granule of a given chain takes care of the fact that the chain in the neighborhood of the current granule stays sufficiently smooth.

Cracks of fundamental quantum physics

In a word, it has the phase sifted probability amplitude of -1/[N.sup.1/2].

Quantum algorithm for knapsack problem

Here the quantity p[e.sup.i[pi][alpha]] can be called the complex probability amplitude. It characterises two parameters of the random variable distribution, namely, the expectation value itself, [e.sup.i[pi][alpha]], and the probability density, p, i.e.

Gravity model for topological features on a cylindrical manifold

[Technically, a classical probability is measured with a positive real number; a quantum "probability amplitude" is measured with a complex number; the collapsed final probability is the magnitude of this number squared, a real, positive number.]