
112, 110404 (2014)
... generated entirely by interactions in the original hoppingfree model [Eq. (2)]. We vary t1 and t2 and numerically solve Eq. (4) to get the best fit of EðKÞ while maximizing overlap of the corresponding wave functions. Table I shows representative (L ¼ 20) fits for the lowest eigenstates. The energy ...
... generated entirely by interactions in the original hoppingfree model [Eq. (2)]. We vary t1 and t2 and numerically solve Eq. (4) to get the best fit of EðKÞ while maximizing overlap of the corresponding wave functions. Table I shows representative (L ¼ 20) fits for the lowest eigenstates. The energy ...
8. Three-dimensional box. Ideal Fermi and Bose gases
... electrons in a metal. If these particles were bosons, the ground state of the system would correspond to all of the particles being in the box state ψ111 ∝ sin(πx/Lx ) sin(πy/Ly ) sin(πz/Lz ). However, since they are spin- 12 fermions, Pauli’s exclusion principle allows only one particle in each qua ...
... electrons in a metal. If these particles were bosons, the ground state of the system would correspond to all of the particles being in the box state ψ111 ∝ sin(πx/Lx ) sin(πy/Ly ) sin(πz/Lz ). However, since they are spin- 12 fermions, Pauli’s exclusion principle allows only one particle in each qua ...
The return of pilot waves - Theory of Condensed Matter (Cambridge)
... with same Ψ). Initially, nothing to distinguish any one system from any other. Nevertheless, results are (say) particle positions randomly distributed as Ψ2 over the ensemble. Copenhagenists conclude Nature ‘inherently probabilistic’. However there is another way: imagine QM ‘incomplete’ (as Einstei ...
... with same Ψ). Initially, nothing to distinguish any one system from any other. Nevertheless, results are (say) particle positions randomly distributed as Ψ2 over the ensemble. Copenhagenists conclude Nature ‘inherently probabilistic’. However there is another way: imagine QM ‘incomplete’ (as Einstei ...