Consider the Schrodinger Equation$$\psi_{xx}-(u-\lambda)\psi=0$$ with the condition
1.when $x\to|\infty|,u\to0,u_x\to0$
2.$\psi|_{x\to \infty}=0$ How to prove that all the eigenvalues are real?
Consider the Schrodinger Equation$$\psi_{xx}-(u-\lambda)\psi=0$$ with the condition
1.when $x\to|\infty|,u\to0,u_x\to0$
2.$\psi|_{x\to \infty}=0$ How to prove that all the eigenvalues are real?