Momentum in the infinite square well is quantized.
Momentum for a particle in an infinite square well is quantized, existing only in discrete allowed values corresponding to the boundary conditions of the potential well.
The retrieved papers address the momentum states, operators, and wavefunctions for a particle in an infinite square well (potential box), confirming standard quantum mechanical principles where spatial confinement leads to discrete (quantized) momentum eigenvalues.
Alberto G Rojo, P R Berman. The infinite square well potential in momentum space. 2020. https://doi.org/10.1088/1361-6404/ab8605
Paper [0] discusses obtaining momentum state eigenfunctions for the infinite square well potential, confirming the well-defined discrete momentum states characteristic of the system.
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Seyong Kim, Alexander Rothkopf. Non-Hermitian momentum operator for the particle in a box. 2024. https://doi.org/10.1103/physrevresearch.6.033156
Paper [4] constructs a momentum operator for a particle in a box and examines its discrete eigenstates in the continuum limit.
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