PhysicsCircus

plot [eta=0:2.6] sqrt(sigma-1)*tan(sqrt(sigma*eta/2.-eta/2.)) plot [1.7:1.709][.9999:1.0001] sqrt(3/x-1)*tan(.75*sqrt(3-x)) plot [1.7043:1.70432][.9999:1.0001] sqrt(3./x-1)*tan(.75*sqrt(3.-x)) #specific solution 1.70431 plot [1.7:1.715][.9:1.1] sqrt(eta/x-1)*tan(.75*sqrt(eta-x)) #even modes plot sqrt(5.35/x-1)/tan(.75*sqrt(5.35-x)) #odd modes set grid #設置格點 http://www.artofproblemsolving.com/LaTeX/AoPS_L_GuideSym.php http://amath.colorado.edu/documentation/LaTeX/Symbols.pdf 數學符號 plot [.1126:.1127][-.9999:-1.0001] sqrt(5.35/x-1)/tan(.75*sqrt(5.35-x)) #.11262 plot [6.032:6.033] sqrt(8./x-1)*tan(.75*sqrt(8.-x)) #6.0327 Analytical solution of the finite quantum square-well problem 能量位井有解析解 http://www.iop.org/EJ/article/0305-4470/38/42/L02/a5_42_l02.html A new look at the square well potential D W L Sprung et al 1992 Eur. J. Phys. 13 21-25 doi:10.1088/0143-0807/13/1/005