Rigged Hilbert space is considered the correct mathematical structure for quantum mechanics
the verdict
SUPPORTED
the evidence backs this
confidence 89/100
The retrieved literature supports the view that the rigged Hilbert space serves as a mathematically rigorous foundation for quantum mechanics, particularly by accommodating generalized eigenvectors and resolving limitations in standard Hilbert space formulations.
Evidence for · 6
Resonance poles and Gamow vectors in the rigged Hilbert space formulation of quantum mechanics
1981 · cited by 151
Paper 0 details the rigged Hilbert space formulation of quantum mechanics and highlights its mathematical advantages over von Neumann's traditional formulation.
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More for · 5
Decaying states in the rigged Hilbert space formulation of quantum mechanics
1980 · cited by 35
Paper 1 demonstrates how the rigged Hilbert space formulation solves theoretical problems regarding decaying states and resonances in quantum mechanics.
Rigged Hilbert Space Formulation of Quantum Thermo Field Dynamics and Mapping to Rigged Liouville Space
2025 · cited by 0
Paper 4 notes that the rigged Hilbert space provides a mathematically rigorous foundation for quantum mechanics by extending Hilbert space to accommodate generalized eigenstates.
The Rigged Hilbert Space Formulation of Quantum Mechanics and its Implications for Irreversibility
1995 · cited by 0
Paper 7 explains that the rigged Hilbert space formulation describes quasistationary phenomena mathematically rigorously and captures microphysical irreversibility.
Rigged Hilbert Space Formulation of Quantum Thermo Field Dynamics and Mapping to Rigged Liouville Space
2025 · cited by 0
Paper 10 reinforces that the rigged Hilbert space supplies a mathematically rigorous foundation for quantum mechanics through its triplet extension.
Quantum Theory in the Rigged Hilbert Space-Irreversibility from Causality
1998 · cited by 0
Paper 11 states that the rigged Hilbert space formulation successfully resolves limitations of standard Hilbert space quantum mechanics by incorporating time-asymmetry and generalized eigenvectors.