Schrödinger Equation (in atomic unit)

$$ \left[-\frac{1}{2}\frac{d^2}{dx^2}+V(x)\right]\psi(x)=E\psi(x) $$

Method Selection

Choose a Method: Fourier Grid Hamiltonian Method Finite Difference Method

Input parameters

Division N
lower limit of x-axis x_a
upper limit of x-axis x_b
Point Multiplication (cubic interpolation)

Potential V(x) (JavaScript), writable with Math.js library:
let V = 0.5*x*x; return V;

Diagonalization method for real symmetric tridiagonal matrices	math.eigs tqli numeric.eig
Lower bound for eigenvalue output
Number of eigenvalues to output

Graph Settings

Auto	Graph Width (px)
Auto	Graph Height (px)
Auto	Aspect Ratio (x/y)
Auto	x-axis [Lower, Upper]	[ ,  ]
Auto	y-axis [Lower, Upper]	[ ,  ]

Output Format

Select: Real Part Absolute Value Absolute Value Squared Real Part and Absolute Value Squared Zero

Eigenvalue offset

Plot with potential