A quantum mechanics problem Schrödinger's equation in the absence of a potential is h² 2m -V²=E, (1) where his Planck's constant divided by 27, m is the mass, E is the energy, and is the wave- function. Consider a particle confined in a sphere of radius a. ("Confined" means that the wavefunction vanishes at r = a.) (a) Determine the possible values of the energy E, considering only states with no dependence on the azimuthal angle o. Also write down the corresponding states (i.e. wavefunctions). Note: Your answer will involve zeros of spherical Bessel functions.
A quantum mechanics problem Schrödinger's equation in the absence of a potential is h² 2m -V²=E, (1) where his Planck's constant divided by 27, m is the mass, E is the energy, and is the wave- function. Consider a particle confined in a sphere of radius a. ("Confined" means that the wavefunction vanishes at r = a.) (a) Determine the possible values of the energy E, considering only states with no dependence on the azimuthal angle o. Also write down the corresponding states (i.e. wavefunctions). Note: Your answer will involve zeros of spherical Bessel functions.
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 6 images