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The finite potential well (also known as the finite square well) is a concept from quantum mechanics. It is an extension of the infinite potential well, in which a particle is confined to a box, but one which has finite potential walls. Unlike the infinite potential well, there is a probability associated with the particle being found outside the box. The quantum mechanical interpretation is unlike the classical interpretation, where if the total energy of the particle is less than the 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 (cf quantum tunnelling). ==Particle in a 1-dimensional box== For the 1-dimensional case on the ''x''-axis, the time-independent Schrödinger equation can be written as: : where :, : is Planck's constant, : is the mass of the particle, : is the (complex valued) wavefunction that we want to find, : is a function describing the potential energy at each point ''x'', and : is the energy, a real number, sometimes called eigenenergy. For the case of the particle in a 1-dimensional box of length ''L'', the potential is zero inside the box, but rises abruptly to a value at ''x'' = -''L/2'' and ''x'' = ''L/2''. The wavefunction is considered to be made up of different wavefuctions at different ranges of ''x'', depending on whether ''x'' is inside or outside of the box. Therefore the wavefunction is defined such that: : 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「finite potential well」の詳細全文を読む スポンサード リンク
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