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Integrable function - Wikipedia, the free encyclopedia (259 words) |
 | In mathematics, an integrable function is a function whose integral exists. |
| Unless specifically stated, the integral in question is usually the Lebesgue integral. |
| This is especially useful in quantum mechanics as wave functions must be square integrable over all space if a physically possible solution is to be obtained from the theory. |
| integrable system: Information from Answers.com (413 words) |
| In mathematics and physics, an integrable system refers to a system of partial differential equations that may be integrated to obtain the solutions to the equations. |
| A completely integrable system is a system that has n degrees of freedom, n constants of motion, and whose constants of motion are in involution: that is, the Poisson bracket between each pair of constants of motion vanishes. |
| The actions are the constants of motion, and all motion occurs on the surface of a torus, known as the invariant torus. |
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