Lower energy bounds for translation-invariant atomlike systems
- 1 September 1978
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (9) , 1969-1972
- https://doi.org/10.1063/1.523903
Abstract
A system of N identical particles with masses m1 interact with each other via a pair potential V and with an additional particle of mass m0 by the pair potential U, and the system obeys nonrelativistic quantum mechanics. A general lower bound formula is derived for the ground‐state energy, which reduces to Coleman’s result in the special case m0=∞. The lower bound is compared with the exact energy for the harmonic oscillator problem V (x) =k21x2 and U (x) =k02x2, which has recently been solved exactly (Hall).Keywords
This publication has 15 references indexed in Scilit:
- Exact solutions of Schrödinger's equation for translation-invariant harmonic atomsPhysics Letters A, 1978
- Many-particle systems. IX. RIP and SHRIMP modelsJournal of Physics A: General Physics, 1977
- Lower Bounds to the Ground-State Energy of Systems Containing Identical ParticlesJournal of Mathematical Physics, 1969
- The binding energy of three nucleonsJournal of Physics A: General Physics, 1968
- Energy lower bounds for translation-invariantN-fermion systemsProceedings of the Physical Society, 1967
- Many-particle systems: IV. Short-range interactionsProceedings of the Physical Society, 1967
- Structure of Fermion Density MatricesReviews of Modern Physics, 1963
- Ableitung der Bindungsenergie vonN-Teilchen-Systemen aus 2-Teilchen-DichtematrizenThe European Physical Journal A, 1959
- Many-Particle Systems: Derivation of a Shell ModelProceedings of the Physical Society. Section A, 1953
- On the Mass Defect of HeliumPhysical Review B, 1933