Rigged Hilbert spaces provide the mathematical foundation for continuous spectra in quantum mechanics.
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SUPPORTED
the evidence backs this
confidence 78/100
Rigged Hilbert spaces provide the mathematical framework necessary to properly formulate continuous spectra and generalized eigenstates in quantum mechanics.
Evidence for · 3
Mathematical Models for Unstable Quantum Systems and Gamow States.
2022 · cited by 2
Discusses how Gamow states, representing resonances and continuous spectra, are formulated as vectors in extensions of Hilbert spaces known as rigged Hilbert spaces.
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More for · 2
Computing Generalized Eigenfunctions in Rigged Hilbert Spaces
2024 · cited by 2
Presents a computational scheme for generalized eigenfunctions of self-adjoint operators with continuous spectra using rigged Hilbert spaces.
Quantum optical phase, rigged Hilbert spaces and complementarity.
2024 · cited by 0
Explains how an extended rigged Hilbert space supports strong limits of phase operators and includes their continuous or generalized eigenstates.