Nested Hilbert Spaces in Quantum Mechanics. I

DOI10.1063/1.1704203zbMath0144.23603OpenAlexW2034371186MaRDI QIDQ5520579

Alexander Grossmann

Publication date: 1964

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1704203

zbMATH Keywords

quantum theory

Related Items

Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism ⋮ Time's Arrow and Irreversibility in Time‐Asymmetric Quantum Mechanics ⋮ Hilbert Spaces of Type S ⋮ Some formal aspects of subdynamics ⋮ Collapse postulate for observables with continuous spectra ⋮ Antibound states for a class of one-dimensional Schrödinger operators ⋮ Sz.-Nagy–Foias theory and Lax–Phillips type semigroups in the description of quantum mechanical resonances ⋮ The analytic continuation of the resolvent kernel and scattering operator associated with the Schrödinger operator ⋮ On partly gentle perturbations. I ⋮ Resonances, scattering theory, and rigged Hilbert spaces ⋮ Representations for the three-body \(T\)-matrix on nonphysical sheets. I ⋮ Generalized completeness relations in the theory of resonant scattering ⋮ A partial inner product space of analytic functions for resonances ⋮ Perturbation of resonances in quantum mechanics ⋮ On the semigroup decomposition of the time evolution of quantum mechanical resonances

Cites Work

• Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. I
• Schrödinger Scattering Amplitude. I
• On a Hilbert space of analytic functions and an associated integral transform part I