Re: Why isn't the constant force problem covered in Quantum Mechanics?



The problem of a linear potential (at least over a small interval) is
highly relevant in semiconductor physics since it is approximately the
potential that is encountered in a HEMT (a high electron mobility
transistor). These are used in a large number of electronic
applications, such as low noise transistors for satellite TV dishes. As
other authors mention, the relevant functions are Airy functions, which
although not as well known as other special functions have some quite
interesting properties (see for example the book by Carl Bender &
Steven Orzag, "Advanced Mathematical Methods for Scientists &
Engineers", McGraw-Hill, 1978).

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