Decaying states in the rigged Hilbert space formulation of quantum mechanics

Journal Article · Thu May 01 00:00:00 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), Vol. 21:5
• Country of Publication: United States
• Language: English

Related Subjects

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