Bohmian mechanics in momentum representation and beyond |
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Institution: | Institute of Theoretical Physics, Goethe-University Frankfurt, Max-von-Laue-Str. 1, D-60438 Frankfurt am Main, Germany |
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Abstract: | It is shown how to extend Bohmian mechanics to an arbitrary representation, based on the polar form of the wave function. The early criticism of Pauli and Heisenberg concerning the asymmetric role of the position variable in Bohm's approach can be removed by presenting the momentum space version of the theory. It is illustrated that for certain problems, like the motion in a linear position-dependent field, the momentum space representation can be advantageous. This analysis also allows to trace back the origin of the quantum potential to the squaring of complex quantities and the resulting mixing of phase and amplitude. |
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Keywords: | Bohmian mechanics Momentum representation Phase space |
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