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Confined systems through variational supersymmetric quantum mechanics
(2003-12-01)
The energy states of the confined harmonic oscillator and the Hulthén potentials are evaluated using the Variational Method associated to Supersymmetric Quantum Mechanics.
Confined systems through variational supersymmetric quantum mechanics
(2003-12-01)
The energy states of the confined harmonic oscillator and the Hulthén potentials are evaluated using the Variational Method associated to Supersymmetric Quantum Mechanics.
Ladder Operators for the Spherical 3D Harmonic Oscillator
(Sociedade Brasileira de Física, 2020-12-21)
The Schrödinger equation for an isotropic three-dimensional harmonic oscillator is solved using ladder operators. The starting point is the shape invariance condition, obtained from supersymmetric quantum mechanics. ...
Revisiting the quantum harmonic oscillator via unilateral Fourier transforms
(2015-11-09)
The literature on the exponential Fourier approach to the one-dimensional quantum harmonic oscillator problem is revised and criticized. It is shown that the solution of this problem has been built on faulty premises. The ...
A Laplace transform approach to the quantum harmonic oscillator
(Iop Publishing Ltd, 2013-01-01)
The one-dimensional quantum harmonic oscillator problem is examined via the Laplace transform method. The stationary states are determined by requiring definite parity and good behaviour of the eigenfunction at the origin ...