Problems in quantum mechanics (1)

Consider a one dimensional time-independent Schrödinger equation for some arbitrary potential V(x). Prove that if a solution Ψ(x) has the property that Ψ(x) →0 as x→±∞, then the solution must be nondegenerate and therefore real, apart from a possible overall phase factor. Solution

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Revolution of Modern Physics (2)

In a former post, I described two experiments: the photoelectric effect and the black body radiation. I finish the topic in this post by explaining three more experiments: 3) Frank-Hertz experiment The experiment of Franck and Hertz consisted of bombarding atoms with monoenergetic electrons and measuring the kinetic energy of the scattered electrons. The amount [...]

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Revolution of Modern Physics (1)

In late 19th and early 20 century, a few physical experiments changed our understanding of the nature fundamentally. Later, they led physicists to Quantum mechanics. In this post, I give a brief overview of the most important experiments. 1) Photoelectric effect This refers to emission of electrons observed when one irradiates a metal under vacuum [...]

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