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normalizable function

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  • Normalizable wave function — In quantum mechanics, wave functions which describe real particles must be normalizable: the probability of the particle to occupy any place must equal 1. [1] Mathematically, in one dimension this is expressed as: Or identically: where the… …   Wikipedia

  • Activation function — In computational networks, the activation function of a node defines the output of that node given an input or set of inputs. A standard computer chip circuit can be seen as a digital network of activation functions that can be ON (1) or OFF (0) …   Wikipedia

  • Normalisable wave function — In quantum mechanics, wave functions which describe real particles must be normalisablefn|1: the probability of the particle to occupy any place must equal 1. Mathematically, in one dimension this is expressed as :int {A}^{B} psi^*(x)psi(x)… …   Wikipedia

  • Variational principle — A variational principle is a principle in physics which is expressed in terms of the calculus of variations. According to Cornelius Lanczos, any physical law which can be expressed as a variational principle describes an expression which is self… …   Wikipedia

  • Bra-ket notation — Quantum mechanics Uncertainty principle …   Wikipedia

  • LSZ reduction formula — In quantum field theory, the LSZ reduction formula is a method to calculate S matrix elements (the scattering amplitudes) from the time ordered correlation functions of a quantum field theory. It is a step of the path that starts from the… …   Wikipedia

  • Semicircular potential well — In quantum mechanics, the case of a particle in a one dimensional ring is similar to the particle in a box. The particle follows the path of a semicircle from 0 to pi where it cannot escape, because the potential from pi to 2 pi is infinite.… …   Wikipedia

  • Multilayer perceptron — A multilayer perceptron (MLP) is a feedforward artificial neural network model that maps sets of input data onto a set of appropriate output. An MLP consists of multiple layers of nodes in a directed graph, with each layer fully connected to the… …   Wikipedia

  • Hooke's atom — Hooke s atom, also known as harmonium, refers to an artificial helium like atom where the Coulombic electron nucleus interaction potential is replaced by a harmonic potential. [cite book |last=Lucjan |first=Piela |title=Ideas of Quantum Chemistry …   Wikipedia

  • Principle of indifference — The principle of indifference (also called principle of insufficient reason) is a rule for assigning epistemic probabilities.Suppose that there are n gt; 1 mutually exclusive and collectively exhaustive possibilities.The principle of indifference …   Wikipedia

  • Momentum operator — See also: Momentum In quantum mechanics, momentum is defined as an operator on the wave function. The Heisenberg uncertainty principle defines limits on how accurately the momentum and position of a single observable system can be known at once.… …   Wikipedia

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