Variational Method Ground State Bound Calculator

Apply the variational principle to estimate ground state energy with trial wavefunctions. Optimize variational parameters to minimize expectation value of Hamiltonian.

 
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Physical Constants Reference
ConstantSymbolValue
Speed of lightc2.99792458×10⁸
Planck's constanth6.62607015×10⁻³‴
Boltzmann constant1.380649×10⁻²³
Avogadro's numberNₐ6.02214076×10²³
Gravitational constantG6.6743×10⁻¹¹
Gas constantR8.31446
Elementary chargee1.602176634×10⁻¹⁹
Electron massmₑ9.1093837015×10⁻³¹
Proton massmₚ1.67262192369×10⁻²⁷
Fine-structure constantα7.2973525693×10⁻³
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How to Use

Enter the values for the scenario you are assessing. Apply the variational principle to estimate ground state energy with trial wavefunctions. Optimize variational parameters to minimize expectation value of Hamiltonian. Use the variational ground state result to inform your calculation.

Frequently Asked Questions