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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/858

Title: Spectrum of the non-commutative spherical well
Authors: Scholtz, F G
Chakraborty, B
Govaerts, J
Vaidya, S
Issue Date: 2007
Publisher: Phys. A: Math. Theor.
Citation: F G Scholtz, Biswajit Chakraborty, J Govaerts and S Vaidya (2007), Spectrum of the non-commutative spherical well, Phys. A: Math. Theor. 40 14581.
Abstract: We give precise meaning to piecewise constant potentials in non-commutative quantum mechanics. In particular, we discuss the infinite and finite noncommutative spherical wells in two dimensions. Using this, bound states and scattering can be discussed unambiguously. Here we focus on the infinite well and solution for the eigenvalues and eigenfunctions. We find that time reversal symmetry is broken by the non-commutativity. We show that in the commutative and thermodynamic limits the eigenstates and eigenfunctions of the commutative spherical well are recovered and time reversal symmetry is restored.
URI: http://hdl.handle.net/123456789/858
Appears in Collections:2007

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