morse.m

求解量子力学的薛定谔方程

% <morse.m> calculates the known analytical formula for the eigenvalues of the 
% Morse oscillator, then finds the numerical values using Numerov integration 
% and automatic search for eigenvalues.
% Morse potential: V(x)=k1*(exp(-2*k2*x)-2*exp(-k2*x)); 
% Eigenvalues: E(n)= 0.5*k2*(n+0.5).*[2.*sqrt(2*k1) - k2.*(n+0.5)]-k1; 
% References:
% Morse: Phys Rev vol 34, page 58, 1929.
% Flugge: Practical quantum mechanics, Problem 70.
% Feagin: Quantum methods with Mathematica, Ch 13.
% Normalization: hbar = mass = 1.
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