Decaying states in the rigged Hilbert space formulation of quantum mechanics

Journal Article · Thu May 01 04:00:00 EDT 1980 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524553· OSTI ID:5659445

Bohm, A

Within the rigged Hilbert space formulation of quantum mechanics idealized resonances (without background) are described by generalized eigenvectors of an essentially self-adjoint Hamiltonian with complex eigenvalue and a Breit--Wigner energy distribution. This establishes the link between the S matrix description of resonances by a pole and the usual description of states by vectors, overcomes theoretical problems connected with the deviation from exponential law and simplifies the calculation of the decay rate formula.

• Research Organization: Center for Particle Theory, Department of Physics, University of Texas, Austin, Texas 78712
• OSTI ID: 5659445
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 21:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
DECAY
EIGENVECTORS
ELEMENTARY PARTICLES
HADRONS
HAMILTONIANS
HILBERT SPACE
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATRICES
MECHANICS
QUANTUM MECHANICS
QUANTUM OPERATORS
RESONANCE PARTICLES
S MATRIX
SPACE