normalization of wave function

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• Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …   Wikipedia

• 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

• Normalization — may refer to: Contents 1 Mathematics and statistics 2 Science 3 Technology …   Wikipedia

• Prolate spheroidal wave functions — The prolate spheroidal wave functions are a set of functions derived by timelimiting and lowpassing, and a second timelimit operation. Let Q T denote the time truncation operator, such that x=Q T x iff x is timelimited within [ T/2;T/2] .… …   Wikipedia

• Bessel function — In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel s differential equation: for an arbitrary real or complex number α (the order of the …   Wikipedia

• Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …   Wikipedia

• Mathieu function — In mathematics, the Mathieu functions are certain special functions useful for treating a variety of problems in applied mathematics, including vibrating elliptical drumheads, quadrupoles mass filters and quadrupole ion traps for mass… …   Wikipedia

• Distribution function — This article describes the distribution function as used in physics. You may be looking for the related mathematical concepts of cumulative distribution function or probability density function. In molecular kinetic theory in physics, a particle… …   Wikipedia

• Tight binding — Electronic structure methods Tight binding Nearly free electron model Hartree–Fock method Modern valence bond Generalized valence bond Møller–Plesset perturbat …   Wikipedia

• Uncertainty principle — In quantum physics, the Heisenberg uncertainty principle states that locating a particle in a small region of space makes the momentum of the particle uncertain; and conversely, that measuring the momentum of a particle precisely makes the… …   Wikipedia

• Step potential — The Schrödinger equation for a one dimensional step potential is a model system in quantum mechanics and scattering theory. The problem consists of solving the time independent Schrödinger equation for a particle with a step like potential in one …   Wikipedia