1994/04/01 by R. Karrlein, Robert Karrlein, H. Kleinert · 1 citation
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Anharmonicity #Cold Atom Physics and Bose-Einstein Condensates #Dispersion relation #Ground state #Mathematics #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum mechanics #Quantum tunnelling #Quantum, superfluid, helium dynamics #Quartic function #Variational method #hep-th
paper · pdf · doi:10.1016/0375-9601(94)90050-7
published as Phys.Lett. A187 (1994) 133 · PostScript
openalex publication_date 1994/04/01 · arxiv created 1995/04/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We systematically improve the recent variational calculation of the imaginary part of the ground state energy of the quartic anharmonic oscillator. The results are extremely accurate as demonstrated by deriving, from the calculated imaginary part, all perturbation coefficients via a dispersion relation and reproducing the exact values with a relative error of less than 10-5. A comparison is also made with results of a Schrödinger calculation based on the complex rotation method.