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Quantum Standing Waves and Tunneling Through a Finite Range Potential

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DOI: 10.4236/jmp.2011.27081    4,519 Downloads   8,565 Views


We consider a time independent one dimensional finite range and repulsive constant potential barrier between two impenetrable walls. For a nonrelativistic massive particle projected towards the potential with energies less than the barrier and irrespective of the spatial positioning of the potential allowing for quantum tunneling, analytically we solve the corresponding Schrodinger equation. For a set of suitable parameters utilizing Mathematica we display the wave functions along with their associated probabilities for the entire region. We investigate the sensitivity of the probability distributions as a function of the potential range and display a gallery of our analysis. We extend our analysis for bound state particles confined within constant attractive potentials.

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H. Sarafian, "Quantum Standing Waves and Tunneling Through a Finite Range Potential," Journal of Modern Physics, Vol. 2 No. 7, 2011, pp. 675-699. doi: 10.4236/jmp.2011.27081.

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