Numerical tests of the envelope theory for few-boson systems

Abstract

The envelope theory, also known as the auxiliary field method, is a simple technique to compute approximate solutions of Hamiltonians for $N$ identical particles in $D$-dimension. The accuracy of this method is tested by computing the ground state of $N$ identical bosons for various systems. A method is proposed to improve the quality of the approximations by modifying the characteristic global quantum number of the method.

arXiv commentA reference is updated. To appear in Few-Body Systems

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Cited by in corpus (16)

• Many-body forces with the envelope theory
• Improvement of the envelope theory with the dominantly orbital state method
• Tests of the Envelope Theory in One Dimension
• Many-quark interactions: Large-$N$ scaling and contribution to baryon masses
• Quantum support to BoHua Sun's conjecture
• Envelope Theory for Systems with Different Particles
• Quasi Kepler's third law for quantum many-body systems
• Bound cyclic systems with the envelope theory
• Improvement of the Envelope Theory for Systems with Different Particles
• The envelope theory as a pedagogical tool
• Tests of the envelope theory for three-body forces
• Compact equations for the envelope theory
• Classical and Quantum Kepler's Third Law of N-Body System
• Accuracy Tests of the Envelope Theory
• Upper bounds for critical coupling constants for binding some quantum many-body systems
• Some specific solutions to the translation-invariant $N$-body harmonic oscillator Hamiltonian