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Duality between the coordinates and wave functions on noncommutative space

Ion V. Vancea
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Abstract

The relation between coordinates and the solutions of the stationary Schrodinger equation in the noncommutative algebra of functions on $R^{2N}$ is discussed. We derive this relation for a certain class of wave functions for which the quantum prepotentials depend linearly on the coordinates similarly to the commutative case. Also, the differential equation satisfied by the prepotentials is given.

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Ion V. Vancea. 2003-10-13. Duality between the coordinates and wave functions on noncommutative space. https://doi.org/10.1016/j.physleta.2003.11.049

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