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Fourier Series, Examples And The Fourier Integral, Carl W. David
Fourier Series, Examples And The Fourier Integral, Carl W. David
Chemistry Education Materials
The derivation of the Fourier Integral from the Fourier series in complex form is carried out and illustrations of the Fourier Integral are done.
The Harmonic Oscillator, The Hermite Polynomial Solutions, Carl W. David
The Harmonic Oscillator, The Hermite Polynomial Solutions, Carl W. David
Chemistry Education Materials
The Hermite polynomial solution to the simple harmonic oscillator is discussed.
The Harmonic Oscillator, The Ladder Operator Solutions, Carl W. David
The Harmonic Oscillator, The Ladder Operator Solutions, Carl W. David
Chemistry Education Materials
The ladder operator approach to the quantum mechanics of the simple harmonic oscillator is presented.
The Runge-Lenz Vector, Carl W. David
The Runge-Lenz Vector, Carl W. David
Chemistry Education Materials
The Runge-Lenz vector is a constant of the motion in the Kepler problem. As a precursor to developing a ladder operator formalism for the H-atom's quantum mechanics, various relations concerning the Runge-Lenz vector are obtained.
The Particle In A Box (And In A Circular Box), Carl W. David
The Particle In A Box (And In A Circular Box), Carl W. David
Chemistry Education Materials
The particle in a box problem in 1 and 2 dimensions is treated both for the Cartesian problem (square, rectangle) but for circular boundary conditions.
The Hamiltonian And Schrodinger Equation For Helium's Electrons (Hylleraas), Carl W. David
The Hamiltonian And Schrodinger Equation For Helium's Electrons (Hylleraas), Carl W. David
Chemistry Education Materials
The Hylleraas forms for the kinetic energy operator for the two electrons of Helium in the ground singlet Sigma state are obtained explicitly.