By means of supersymmetric quantum mechanics, we provide a new simple proof that discrete eigenstates, i.e., bound states, of any one-dimensional quantum system satisfying the time-independent Schrodinger equation without internal degrees of freedom are nondegenerate. Using the same idea, we show that the ground state of an N-dimensional time-independent Schrodinger equation without internal degrees of freedom is nondegenerate, too. Reasons why degeneracy is possible for excited states when N>1 are also discussed. (C) 1995 American Association of Physics Teachers. [References: 16]
展开▼
