Explain obtain the positions of the wavefunctions nodes

Reference no: EM13161153

Look at the general formulae for the wave functions (eigenfunctions) and energies (eigenvalues) of the quantum harmonic oscillator, including the Hermite polynomials, and then for the quantum numbers v = 0, 1, and 2: (a) obtain the energy value, (b) write explicitly in terms of the variable x (not of y) the wave function, (c) obtain the positions of the wavefunctions nodes from the roots of the corresponding Hermite polynomial, and (d) from your answers to (b) and (c), sketch the wave functions, indicating nodes and boundary conditions behaviors at +/- infinite in the drawings.

Reference no: EM13161153

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