Approach to determine nodal surfaces of some s-electron systems

Area of Science:

• Quantum mechanics
• Computational physics

Background:

• Fermion systems are fundamental in quantum mechanics.
• Understanding the nodal surfaces of wave functions is crucial for describing fermion behavior.

Purpose of the Study:

• To numerically determine the nodal surfaces of wave functions for specific fermion systems.
• To develop an efficient method for constructing these nodal surfaces.

Main Methods:

• Quantum Monte Carlo (QMC) method.
• Numerical computation of implicit equations for nodal surfaces.

Main Results:

• Successfully obtained nodal surfaces for s-electron systems with two to five electrons.
• Results align with existing research findings.
• Proposed a novel and practical method for nodal surface construction in QMC.

Conclusions:

• The proposed method facilitates the implementation of quantum Monte Carlo for studying nodal surfaces.
• The findings contribute to a better understanding of fermion system wave functions.