Time-Dependent Superposition of Particle-in-a-Box Eigenstates

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This Demonstration looks at a time-dependent superposition of quantum particle-in-a-box eigenstates, , where the eigenstates and eigenenergies are given by and , respectively. The Hamiltonian for this system is , and its expectation value gives the energy . The upper panel shows the complex wavefunction , where the shape is its modulus and the coloring is according to its argument (the range to corresponds to colors from red to magenta). The lower panel shows the eigenenergies in blue and the energy of the superposition state in red.

Contributed by: Porscha McRobbie and Eitan Geva (March 2011)
Open content licensed under CC BY-NC-SA


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