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Technically speaking, physics deals only with one-body and many-body problems (because the two-body problem reduces to the one-body case, and the three-body problem does not, and is already insolvable). Still, what an average physicist thinks of as “many” in this context is probably something of the order of 1019-1023the number of particles in a cubic centimeter of a gas or a solid, respectively. When you have this many particles on your hands, you need a many-body theory. At these densities, the particles will spend enough time at several de Broglie wavelengths from each other, and therefore we need a quantum many-body theory. (A good thing too: What we really should not mess with is the classical chaos!)
KeywordsWave Function Occupation Number Quantum Particle Classical Trajectory SchrOdinger Equation
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