- Finite potential well
The

**finite potential well**(also known as the**finite square well**) is a simple problem fromquantum mechanics . It is an extension of theinfinite potential well , in which a particle is confined to a box, but one which has finite - not infinite - potential walls. This means unlike the infinite potential well, there is aprobability associated with the particle being found outside of the box. The quantum mechanical interpretation is unlike the classical interpretation, where if the totalenergy of the particle is less than potential energy barrier of the walls it cannot be found outside the box. In the quantum interpretation, there is a non-zero probability of the particle being outside the box even when the energy of the particle is less than the potential energy barrier of the walls (because ofquantum tunnelling ).**The particle in a 1-dimensional box**For the 1-dimensional case on the "x"-axis, the

time-independent Schrödinger equation can be written as:::

**ee also***

Potential well

*Delta function potential

*Infinite potential well

*Semicircle potential well

*Quantum tunnelling **References***cite book | author=Griffiths, David J. | title=Introduction to Quantum Mechanics | edition = 2

^{nd}ed. | publisher=Prentice Hall | year=2005 | id=ISBN 0-13-111892-7

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