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Physics 3380, Quantum II
Assignment 2
Due:
February 10 in class (not later that day
)
January1412
7:43 PM
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View Full Document In this question you will obtain, in some detail, the complete solution to a problem
that is actually a classical mechanics problem. In fact, you may well have
encountered this problem in a classical mechanics course already. Nevertheless, it is
important that you understand this problem thoroughly, since it not only illustrates
the use of the mathematical techniques we talked about so far, but also because it
illustrates the main features of the central problem in quantum mechanics. We work
with the classical problem here, but the full treatment of the microscopic (i.e. the
quantum) harmonic oscillator is the most important problem in modern physics,
because the interactions it models show up in all sorts of physical pictures including,
but not limited to, atomic physics, subatomic nuclear and particle physics, condensed
matter physics, and other subject areas dealing with manybody systems. Normal
mode solutions to the harmonic oscillator hamiltonian form the basis (meant in the
mathematical sense of linear vector spaces) for most quantum field theories.
The mechanical system in this problem consists of a pair of coupled harmonic
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This note was uploaded on 02/16/2012 for the course PHYSICS 3380 taught by Professor M.gericke during the Winter '12 term at Manitoba.
 Winter '12
 M.Gericke
 Physics, mechanics

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