Number of bound states of three-body systems and Efimov's effect
Journal Article
·
· Ann. Phys. (N.Y.); (United States)
Using the variational approach we obtain lower bounds for the number of eigenvalues of three-particle Hamiltonians with short-range potentials close to critical ones and construct corresponding trial functions. A new proof of the infiniteness of the numer of eigenvalues for critical potentials (Efimov's effect) is given.
- Research Organization:
- L. D. Landau Institute of Theoretical Physics, Moscow, USSR
- OSTI ID:
- 5407080
- Journal Information:
- Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 123:2; ISSN APNYA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADIABATIC APPROXIMATION
BOUND STATE
EIGENVALUES
HAMILTONIANS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MECHANICS
POTENTIALS
QUANTUM MECHANICS
QUANTUM OPERATORS
THREE-BODY PROBLEM
VARIATIONAL METHODS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADIABATIC APPROXIMATION
BOUND STATE
EIGENVALUES
HAMILTONIANS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MECHANICS
POTENTIALS
QUANTUM MECHANICS
QUANTUM OPERATORS
THREE-BODY PROBLEM
VARIATIONAL METHODS