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In principle, the application of quantum mechanics to a physical system is a simple process, easily accomplished by writing and solving the Shrödinger wave equation for the given system. In practice, however, this differential equation is usually too difficult to be solved analytically. But with Variational Method, mathematical complexity is no longer a deterrent. Variational Method calculates - and illustrates graphically - ground and excited state energies and wave functions for one-dimensional systems using a binomial basis set. It is intended for two distinct instructional applications: as a generator of good approximate energies and wave functions, and as a tool for illustrating the strength of the variational method as an approximation method in quantum mechanics. It treats a general two-parameter potential that approaches or reduces to the potential for classic problems such as the particle in a box, the double well, the harmonic oscillator, and the infinite tilted well. Now your students can concentrate on the physics, not the math! 42 pp. System Requirements:
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