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Let's suppose we have a Hamiltonian of the form:

[tex] H(q_1 ,q_2 ,q_3,....., q_N , p_1,p_2 ,p_3 , ......, p_N ) \Phi (q_1 ,q_2 ,q_3,....., q_N) = E_{n} \Phi (q_1 ,q_2 ,q_3,....., q_N ) [/tex]

but the problem is that N is very "big" , let's say [tex] N \rightarrow \infty [/tex] , so to solve the Schrowedinguer equation becomes a very difficult task.... is there a method to deal with this problem?...when you have for example a big number of particles inside a box (gas and similar) to solve SE and get the "Energies" and "Wave functions"?

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# System with big number of particles

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