Are wave functions uniquely determined by their position and momentum distributions?

DOI10.1017/S0334270000001569zbMath0392.46021MaRDI QIDQ4173806

C. A. Hurst, John Vincent Corbett

Publication date: 1977

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

PhaseFourier TransformAmplitudeBound StatesPauli ProblemPosition and Momentum DistributionsQuantum Mechanical SystemScattering StatesWave Functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Miscellaneous applications of functional analysis (46N99)

Related Items (12)

Minimal determination of a pure qutrit state and four-measurement protocol for pure qudit state ⋮ Coexistence of observables ⋮ On informational completeness of covariant localization observables and Wigner coefficients ⋮ Zak transform and non-uniqueness in an extension of Pauli's phase retrieval problem ⋮ Non-Uniqueness Theory in Sampled STFT Phase Retrieval ⋮ Uniqueness of phase retrieval from three measurements ⋮ Phase Retrieval: Uniqueness and Stability ⋮ Quantum tomography meets dynamical systems and bifurcations theory ⋮ Complementary observables in quantum mechanics ⋮ Uniqueness results in an extension of Pauli's phase retrieval problem ⋮ Phase retrieval for wide band signals ⋮ Phase retrieval techniques for radar ambiguity problems

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