mechanics, the probability current (sometimes called probability flux) is a mathematical quantity describing the flow of probability. Specifically, if...

V}(t)=\int _{V}\Psi ^{*}\Psi dV=\int _{V}|\Psi |^{2}dV.} The probability current (probability flux) is j ( r , t ) = ℏ 2 m i [ Ψ ∗ ( ∇ Ψ ) − Ψ ( ∇ Ψ ∗ )...

2013 Google Currents (social app), an app developed by Google for internal enterprise communication between 2019 and 2023 Probability current, in quantum...

quantum mechanics, the four-probability current or probability four-current is analogous to the electromagnetic four-current: J = ( ρ c , j ) {\displaystyle...

{\hbar }{m}}\operatorname {Im} (\psi ^{*}\nabla \psi )} is the probability current or probability flux (flow per unit area). If the wavefunction is represented...

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...

quantum information theory and other theories were established. Free probability is currently undergoing active research. Typically the random variables lie...

In probability theory and statistics, a Markov chain or Markov process is a stochastic process describing a sequence of possible events in which the probability...

coefficient is defined in terms of the incident and transmitted probability current density J according to: T = J → t r a n s ⋅ n ^ J → i n c ⋅ n ^ ...

\partial ^{\mu }\psi ^{*}\right)} The 4-charge current density is just the charge (q) times the 4-probability current density:: 8  J charge μ = i ℏ q 2 m 0 (...

Bayesian probability (/ˈbeɪziən/ BAY-zee-ən or /ˈbeɪʒən/ BAY-zhən) is an interpretation of the concept of probability, in which, instead of frequency or...

directly related to the conservation of the probability current in quantum mechanics. The probability current density J of the wave function ψ(x) is defined...

In mathematics, a probability measure is a real-valued function defined on a set of events in a σ-algebra that satisfies measure properties such as countable...

In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a...

Frequentist probability or frequentism is an interpretation of probability; it defines an event's probability (the long-run probability) as the limit...

word "probability" has been used in a variety of ways since it was first applied to the mathematical study of games of chance. Does probability measure...

The posterior probability is a type of conditional probability that results from updating the prior probability with information summarized by the likelihood...

=\phi ^{*}\phi } and this density is convected according to the probability current vector J = − i ℏ 2 m ( ϕ ∗ ∇ ϕ − ϕ ∇ ϕ ∗ ) {\displaystyle J=-{\frac...

transform. Probability amplitude A probability amplitude is of the form ⟨ α | ψ ⟩ {\displaystyle \langle \alpha |\psi \rangle } . Probability current Having...

Probability of default (PD) is a financial term describing the likelihood of a default over a particular time horizon. It provides an estimate of the...

An aromatic ring current is an effect observed in aromatic molecules such as benzene and naphthalene. If a magnetic field is directed perpendicular to...

A prior probability distribution of an uncertain quantity, simply called the prior, is its assumed probability distribution before some evidence is taken...

\epsilon _{0})^{2}\hbar ^{3}}}} . The ionization rate is the total probability current through the outer classical turning point. This rate is found using...

}{\Psi }}\right),} where j {\displaystyle \mathbf {j} } is the probability current or probability flux, and P ^ {\displaystyle \mathbf {\hat {P}} } is the momentum...

In probability theory, a martingale is a stochastic process in which the expected value of the next observation, given all prior observations, is equal...

coefficient is defined as the ratio of the transmitted probability current to the incoming probability current. However, the quantities directly involved in this...

In probability theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random...

Probability of precipitation (PoP) is a commonly used term referring to the likelihood of precipitation falling in a particular area over a defined period...

of probability theory and the current editor-in-chief is Bénédicte Haas (Université Sorbonne Paris Nord). Electronic Communications in Probability is...

\right).} This is sometimes referred to as the probability current or current density, or probability flux density. As a mathematical concept, flux is...