In quantum mechanics, a probability amplitude is a complex number used for describing the behaviour of systems. The square of the modulus of this quantity...

called probability amplitudes. The probability is the square of the absolute value of total probability amplitude, probability = | f ( amplitude ) | 2...

In quantum physics, the scattering amplitude is the probability amplitude of the outgoing spherical wave relative to the incoming plane wave in a stationary-state...

saying that probability is equal to the amplitude-squared (really the amplitude times its own complex conjugate). Equivalently, the probability can be written...

source to a final point, each path with a certain probability amplitude. These probability amplitudes can be represented as a complex number or equivalent...

x_{k}} ), weighted by a complex probability amplitude e i S / ℏ {\displaystyle e^{iS/\hbar }} . The phase of the amplitude is given by the action divided...

associates to each point in space a probability amplitude. Applying the Born rule to these amplitudes gives a probability density function for the position...

probability amplitudes, and are both complex numbers. When we measure this qubit in the standard basis, according to the Born rule, the probability of...

mathematical machinery of quantum mechanics, such as state vectors, probability amplitudes, unitary operators, and Hermitian operators, emerge naturally from...

Born rule provides the means to turn these complex probability amplitudes into actual probabilities. In one common form, it says that the squared modulus...

operator is diagonal in this basis. The probability to get a particular measured result depends on the probability amplitude, given by the inner product of the...

{\displaystyle v_{1}} are the complex probability amplitudes of the qubit. These values determine the probability of measuring a 0 or a 1, when measuring...

quantum field theory, the propagator is a function that specifies the probability amplitude for a particle to travel from one place to another in a given period...

probability theory List of probability distributions Probability amplitude – Complex number whose squared absolute value is a probability Probability...

Jacobi amplitude of Jacobi elliptic functions Probability amplitude, in quantum mechanics Scattering amplitude, in quantum mechanics Complex amplitude Amplitude...

postulates: The probability for an event is given by the squared modulus of a complex number called the "probability amplitude". The probability amplitude is given...

Amplitude-shift keying (ASK) is a form of amplitude modulation that represents digital data as variations in the amplitude of a carrier wave. In an ASK...

model a photon going through the interferometer by assigning a probability amplitude to each of the two possible paths: the "lower" path which starts...

with the phase of the probability amplitude for each path being determined by the action for the path; the final probability amplitude adds all paths using...

scientific notation with the decimal point in a consistent position Probability amplitude § Normalization A metallurgic process used in annealing Normalization...

EIT is based on the destructive interference of the transition probability amplitude between atomic states. Closely related to EIT are coherent population...

Mathematical space representing physical quantum systems Scattering amplitude – Probability amplitude in quantum scattering theory Trajectory – Path of a moving...

the Schrödinger equation in Dirac notation weighted by the two probability amplitudes c 0 {\displaystyle c_{0}} and c 1 {\displaystyle c_{1}} that both...

Feynman, who introduced the diagrams in 1948. The calculation of probability amplitudes in theoretical particle physics requires the use of large, complicated...

represented by a complex probability amplitude (wavefunction) ψ {\displaystyle \psi } , and when the system is measured, the probability of finding the system...

systems mathematically using linear algebra. Complex numbers model probability amplitudes, vectors model quantum states, and matrices model the operations...

space a complex number called a probability amplitude. Applying the Born rule to these amplitudes gives the probabilities that the electron will be found...

statistics Pignistic probability Probability amplitude (quantum mechanics) Sunrise problem Bayesian epistemology The taxonomy of probability interpretations...

particular atom. The (complex) square of the probability amplitude at a point in space gives the probability of measuring an electron at that location....

_{i}{\boldsymbol {r}}_{i}+e\sum \limits _{j}Z_{j}{\boldsymbol {R}}_{j}.} The probability amplitude P for the transition between these two states is given by P = ⟨...