Nonlinear Schrödinger Equation

In theoretical physics, the nonlinear Schrödinger equation (NLS) is a nonlinear partial differential equation. It is a classical field equation with applications to optics and water waves. Unlike the Schrödinger equation, it never describes the time evolution of a quantum state. It is an example of an integrable model.

In quantum mechanics, it is a special case of the nonlinear Schrödinger field, and when canonically quantized, it describes bosonic point particles with delta-function interactions — the particles either repel or attract when they are at the same point. The nonlinear Schrödinger equation is integrable when the particles move in one dimension of space. In the limit of infinite strength repulsion, the nonlinear Schrödinger equation bosons are equivalent to one dimensional free fermions.

Read more about Nonlinear Schrödinger Equation:  Equation, Solving The Equation, Galilean Invariance, The Nonlinear Schrödinger Equation in Fiber Optics, The Nonlinear Schrödinger Equation in Water Waves, Gauge Equivalent Counterpart

Other articles related to "equation":

Nonlinear Schrödinger Equation - Gauge Equivalent Counterpart
... equivalent to the following isotropic Landau-Lifshitz equation (LLE) or Heisenberg ferromagnet equation Note that this equation admits several integrable and non-integrabl ...

Famous quotes containing the word equation:

    Jail sentences have many functions, but one is surely to send a message about what our society abhors and what it values. This week, the equation was twofold: female infidelity twice as bad as male abuse, the life of a woman half as valuable as that of a man. The killing of the woman taken in adultery has a long history and survives today in many cultures. One of those is our own.
    Anna Quindlen (b. 1952)