(Institute of Physics Publishing, Bristol, 2004)Ĭ.W. Heyde, Basic Ideas and Concepts in Nuclear Physics, 3rd edn. Resnick R., Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles (Wiley, New York, 1974), Sections 5–7 The first of these, the “infinite square well”, is highly idealized but is analyzed as it reveals many characteristic qualities of such solutions, in particular how the imposition of boundary conditions leads to quantized energy levels. This is followed by solutions for the finite potential well, potential barriers, and an examination of how quantum mechanics was pivotal in understanding the nuclear process of alpha decay, which was otherwise incomprehensible based on concepts of classical physics.Į. In this lengthy chapter, Schrödinger’s equation is solved for several iconic potential functions. In just about every single version of this course, the students are going to find an expression for the wave function in an infinite 1 dimensional square well using Schrödinger equation. Oh, you are taking quantum mechanics That’s great. The latter is specified via the so-called potential function V( x), which specifies the potential energy of the particle at some position x. Schrödinger equation for the 1D infinite square well. Solving Schrödinger’s equation is similar in that one must specify a particle mass and the environment within which it resides. When solving problems involving Newton’s laws of motion, one usually begins by specifying a circumstance, say a particle moving in the Erath’s gravitational field.
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