GROUND STATE ENERGY OF HYDRO HELIUM CATION (2+) (He++H) CALCULATED BY QUANTUM MONTE CARLO METHOD

Authors

  • Muhammad Rameez
  • , Muhammad Mujtaba Zafar
  • Sidra Khan
  • Faisal Aziz

Keywords:

Hartree-Fock Method, DMC (Diffusion Monte Carlo), Ground state energy, Slater-Jastrow wave function and Quantum Monte Carlo (QMC).

Abstract

In the below study, a well-known theoretically model Quantum Monte Carlo (QMC) is used to determine ground state energy of hydro helium cation (2+) ( ????).  We have used (DMC) method Diffusion Quantum Monte Carlo, to find out energy of hydro helium cation (2+) ( ????) for ground state. The Slater-Jastrow trial wave function serves as the basis for our calculation. we used importance sampling technique, to improve the accuracy and using metropolis algorithm for Implementation of method. A Python program is developed for hydro helium cation (2+) ( ????). The energy obtained by using DMC methods is -3.45833 Hartree. Comparison is also made by DHF (Dirac Hartree-Fock) and ROHF (Restricted Open Shell Hartree Fock) methods; this article is helpful for understanding ground state energy and the QMC (Quantum Monte Carlo) method.

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Published

2026-04-21

How to Cite

Muhammad Rameez, , Muhammad Mujtaba Zafar, Sidra Khan, & Faisal Aziz. (2026). GROUND STATE ENERGY OF HYDRO HELIUM CATION (2+) (He++H) CALCULATED BY QUANTUM MONTE CARLO METHOD. Spectrum of Engineering Sciences, 4(4), 852–862. Retrieved from https://thesesjournal.com/index.php/1/article/view/2495