Abstract
The non-commutativity of postition and momenta is one of the fundamental differences between quantum and classical mechanics.As a consequence in quantum theory, it is customary to choose either the position space or the momentum space representation to describe the bound electronic states of atomic and molecular systems. The position space representation is by far the more commonly chosen one due not only to the simpler form of the Hamiltonian operator but also to the fact that it yields a charge density distribution which enables one intuitively to visualize the form of the system. However, the momentum space representation is equally valid although its picture is more difficult for the human mind to grasp.
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Kaijser, P., Smith, V.H. (1976). On Inversion Symmetry in Momentum Space. In: Calais, JL., Goscinski, O., Linderberg, J., Öhrn, Y. (eds) Quantum Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1659-7_28
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