A METHOD FOR FINDING THE EIGENVALUE OF QUANTUM GROUND STATE
关于量子基态的一种解法

With an integral transformation, the energy eigenvalue problem of a quantum system is converted into the solving of a non-linear Riccati equation. It is easy to find the ground state energy and the corresponding wavefunction. The relation with usual factorization method is discussed. The ground states of various quanum systems are calculated to show the advantage of this new method.