Upper and lower bounds to eigenvalues from variational functionals

Journal Article · Mon Jun 01 04:00:00 EDT 1987 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.35.4861· OSTI ID:6481228

Fernandez, F M; Castro, E A

Upper and lower bounds to the energy of quantum-mechanical parameter-dependent systems are obtained from variational functionals. Results are shown for the Zeeman effect in hydrogen and the anharmonic oscillator.

• Research Organization: Instituto de Investigaciones Fisicoquimicas Teoricas y Aplicadas, Division Quimica Teorica, Sucursal 4, Casilla de Correo 16, (1900) La Plata, Argentina
• OSTI ID: 6481228
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 35:11; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ANHARMONIC OSCILLATORS
ATOMS
CHARGED PARTICLES
EIGENVALUES
ELECTRONIC EQUIPMENT
ELEMENTS
ENERGY LEVELS
EQUIPMENT
GROUND STATES
HYDROGEN
IONS
ISOELECTRONIC ATOMS
LIMITING VALUES
MAGNETIC FIELDS
MECHANICS
NONMETALS
OSCILLATORS
QUANTUM MECHANICS
VARIATIONAL METHODS
ZEEMAN EFFECT