MATLAB codes for Quantum physics state with given values?

Answer 1

[Edoardo_a]

I wrote this function, you just have to indicate the value for alpha (alpha_val) and n (n_val).

I hope it helps.

function [Alpha] = alp(alpha_val,n_val)
Alpha = zeros(1);
for i = 0 : 1 : n_val
    Alpha = Alpha + (exp(-.5*abs(alpha_val)^2)/alpha_val^i)/sqrt(factorial(i));
end
sprintf('%c ', 945, '=', Alpha, '|n>')
end

alp(0.1,30)
ans =
    'α = 1.320248e+14 | n > '

alp(0.2,30)
ans =
    'α = 1.007363e+06 | n > '

alp(0.3,30)
ans =
    'α = 1.004035e+03 | n > '
   
alp(0.4,30)
ans =
    'α = 73.3975 | n > '
   
alp(0.5,30)
ans =
    'α = 20.1727 | n > '