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.

A reference is updated. To appear in Few-Body Systems

References in corpus (3)

• Duality relations in the auxiliary field method
• Auxiliary field method and analytical solutions of the Schrödinger equation with exponential potentials
• Soft and hard confinement of a two-electron quantum system

Cited by in corpus (11)

• Quantum support to BoHua Sun's conjecture
• Envelope Theory for Systems with Different Particles
• Many-quark interactions: Large-$N$ scaling and contribution to baryon masses
• Improvement of the Envelope Theory for Systems with Different Particles
• The envelope theory as a pedagogical tool
• Compact equations for the envelope theory
• Tests of the envelope theory for three-body forces
• 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