diff --git a/src/8_many_atoms_sol.md b/src/8_many_atoms_sol.md index df16049a23258628694f980cb999676d8d1c0f77..8688cfe8f6eca52a48bf126b794b7414c3413008 100644 --- a/src/8_many_atoms_sol.md +++ b/src/8_many_atoms_sol.md @@ -69,7 +69,7 @@ pyplot.xlabel('$ka$'); pyplot.ylabel(r'$E-\epsilon$') pyplot.xlim([-2*pi,2*pi]) pyplot.ylim([-1.1*(t1+t2),1.1*(t1+t2)]) pyplot.xticks([-2*pi, -pi, 0, pi,2*pi], [r'$-2\pi$',r'$-\pi$', 0, r'$\pi$',r'$2\pi$']) -pyplot.yticks([-t1-t2, -np.abs(t1-t2), 0, np.abs(t1-t2), t1+t2], [r'$t_1+t_2$',r'$-|t_1-t_2|$', '0', r'$|t_1-t_2|$', r'$-t_1-t_2$']); +pyplot.yticks([-t1-t2, -np.abs(t1-t2), 0, np.abs(t1-t2), t1+t2], [r'$-t_1-t_2$',r'$-|t_1-t_2|$', '0', r'$|t_1-t_2|$', r'$t_1+t_2$']); pyplot.vlines([-pi, pi], -2*(t1+t2)*1.1,2*(t1+t2)*1.1, linestyles='dashed'); pyplot.hlines([-np.abs(t1-t2), np.abs(t1-t2)], -2*pi, 2*pi, linestyles='dashed'); pyplot.fill_between([-3*pi,3*pi], -np.abs(t1-t2), np.abs(t1-t2), color='red',alpha=0.2); @@ -102,7 +102,7 @@ pyplot.plot(k, -np.sqrt(t1**2 + t2**2+2*t1*t2*np.cos(k)),'b') pyplot.xlabel('$ka$'); pyplot.ylabel(r'$E-\epsilon$') pyplot.xlim([-2*pi,2*pi]) pyplot.xticks([-2*pi, -pi, 0, pi,2*pi], [r'$-2\pi$',r'$-\pi$', 0, r'$\pi$',r'$2\pi$']) -pyplot.yticks(-t1-t2, -np.abs(t1-t2), 0, np.abs(t1-t2), t1+t2, [r'$-t_1-t_2$',r'$-|t_1-t_2|$', '0', r'$|t_1-t_2|$', r'$t_1+t_2$']); +pyplot.yticks([-t1-t2, -np.abs(t1-t2), 0, np.abs(t1-t2), t1+t2], [r'$-t_1-t_2$',r'$-|t_1-t_2|$', '0', r'$|t_1-t_2|$', r'$t_1+t_2$']); pyplot.subplot(1,3,2) w = np.sqrt(t1**2 + t2**2+2*t1*t2*np.cos(k))