Envelope Theory for Systems with Different Particles

Abstract

The eigensolutions of many-body quantum systems are always difficult to compute. The envelope theory is a method to easily obtain approximate, but reliable, solutions in the case of identical particles. It is extended here to treat systems with different particles (bosons or fermions). The accuracy is tested for several systems composed of identical particles plus a different one.

New version with supplementary explanations. To appear in Few-Body Systems

References in corpus (14)

• Auxiliary fields and hadron dynamics
• Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2)
• Universal Behavior in Excited Heavy-Light and Light-Light Mesons
• The quantum N-body problem and the auxiliary field method
• Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
• A general comparison theorem
• Numerical tests of the envelope theory for few-boson systems
• Many-body forces with the envelope theory
• Improvement of the envelope theory with the dominantly orbital state method
• Hyperspherical harmonics expansion on Lagrange meshes for bosonic systems in one dimension
• Baryon spectra with instanton induced forces
• Tests of the Envelope Theory in One Dimension
• Three theorems of quantum mechanics and their classical counterparts
• Bound cyclic systems with the envelope theory

Cited by in corpus (6)

• Quasi Kepler's third law for quantum many-body systems
• Improvement of the Envelope Theory for Systems with Different Particles
• Compact equations for the envelope theory
• Accuracy Tests of the Envelope Theory
• Some specific solutions to the translation-invariant $N$-body harmonic oscillator Hamiltonian
• Upper bounds for critical coupling constants for binding some quantum many-body systems