- #1

Kashmir

- 468

- 74

"...there will be a large number of different

ways in which the total energy E of the system can be distributed among the N particles

constituting it. Each of these (different) ways specifies a microstate, or complexion, of the

given system"

"Each of these (different) ways specifies a microstate, or complexion, of the

given system. In general, the various microstates, or complexions, of a given system can

be identified with the independent solutions ##ψ(r_1,..., r_N )## of the Schrodinger equation of

the system, corresponding to the eigenvalue E of the relevant Hamiltonian" .

If we have N particles in a box, we solve the energy eigenvalue for the total system ##H|E>=E|E>## and find the eigenvectors.

Using linear combination of these and boundary conditions we find the general solution ##ψ(r_1,..., r_N )##.So how does "the various microstates, or complexions, of a given system can

be identified with the independent solutions ##ψ(r1,..., rN )## of the Schrodinger equation of

the system, corresponding to the eigenvalue E of the relevant Hamiltonian" enter the discussion? [1]: https://www.google.co.uk/books/edition/Statistical_Mechanics/PIk9sF9j2oUC?hl=en