Created
April 17, 2025 11:49
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Learn Schrödinger's equation
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| makeLmat <- function (h){ | |
| x = seq(0,1,by=h) | |
| N=length(x) | |
| invh2 <- 1/(h^2) | |
| res = diag(invh2, N) | |
| res[cbind(1:(N-1),2:N)] <- -0.5*invh2 | |
| res[cbind(2:N,1:(N-1))] <- -0.5*invh2 | |
| return(list(L=res,x=x)) | |
| } | |
| Lobj = makeLmat(0.01) | |
| res_eigen = eigen(Lobj$L) | |
| plot(Lobj$x, res_eigen$values, type = "l") | |
| plot(Lobj$x, res_eigen$vector[,2], type = "l") | |
| matplot(Lobj$x, res_eigen$vector, type = "l", col=hcl.colors(101), lty=1) | |
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