We present a novel method of obtaining the energy eigenvalue spectrum for a Hamiltonian whose interaction term is a polynomial in one independent variable. The method is simple in concept and can be easily implemented on a minicomputer with a Basic compiler. The method extends the range of potentials for which the energy spectra is easily obtained and is therefore of value to students in introductory quantum mechanics. To show the utility of the method we use it to obtain the energy spectra for the anharmonic oscillator and for a non-Hermitian Hamiltonian.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.