Schrödinger problems for surfaces of revolution-the finite by Gravesen J., Willatzen M. PDF

By Gravesen J., Willatzen M.

A suite of standard differential equations is derived utilizing the strategy of differentiableforms for you to describe the quantum mechanics of a particle limited tomove on a basic two-dimensional floor of revolution. Eigenvalues and eigenstatesare calculated quasianalytically on the subject of a finite cylinder (finite alongthe axis) and in comparison with the eigenvalues and eigenstates of a whole threedimensionalSchrödinger challenge equivalent to a hole cylinder within the limitwhere the internal and outer radii process one another. stable contract among thetwo types is bought for a relative distinction below 20% in internal and outerradii"

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Schrödinger problems for surfaces of revolution-the finite cylinder as a test example by Gravesen J., Willatzen M.


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