Rayleigh-Ritz approximation for the ground state energy for a particle in a semicircular well

ORAL

Abstract

Approximation schemes for bound state energies are of immense importance in quantum mechanics. Typically one finds these desired energies using the ``particle in a box'' or the simple harmonic oscillator potentials. Methods other than obtaining closed form solutions have been used to determine bound state energies such as time independent perturbation theory, the WKB approximation, and the Rayleigh-Ritz approximation. We shall demonstrate the way one can obtain an approximate ground state energy for a particle in a semicircular potential well using the Rayleigh-Ritz approximation.

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Authors

  • Kevin Boos

    Angelo State University, Texas State University, San Marcos, SEMATECH, Texas State University, University of Texas at Brownsville, Abilene Christian University, Texas Tech University, University of Texas at Austin, Maypearl High School, Birdville ISD, South Texas Chapter, Health Physics Society, Sam Houston State University, NASA Johnson Space Center, Dept. of Physics, U. de Buenos Aires, Argentina, Dept.of Physics, ESFM-IPN, Mexico City, University of Texas M.D. Anderson Cancer Center, Rutgers University, Texas A\&M University, Istanbul University, University of North Texas, University of Texas at El Paso, Texas Christian University, Lee College, Southern University and A\&M College, Austin Community College, Rapoport Academy, Texas A\&M University, Kingsville, The University of Texas at Arlington, Tyler Junior College, Tarleton State University, Tolar High School, Granbury High School, Lake Highlands High School

  • Kevin Boos

    Angelo State University, Texas State University, San Marcos, SEMATECH, Texas State University, University of Texas at Brownsville, Abilene Christian University, Texas Tech University, University of Texas at Austin, Maypearl High School, Birdville ISD, South Texas Chapter, Health Physics Society, Sam Houston State University, NASA Johnson Space Center, Dept. of Physics, U. de Buenos Aires, Argentina, Dept.of Physics, ESFM-IPN, Mexico City, University of Texas M.D. Anderson Cancer Center, Rutgers University, Texas A\&M University, Istanbul University, University of North Texas, University of Texas at El Paso, Texas Christian University, Lee College, Southern University and A\&M College, Austin Community College, Rapoport Academy, Texas A\&M University, Kingsville, The University of Texas at Arlington, Tyler Junior College, Tarleton State University, Tolar High School, Granbury High School, Lake Highlands High School