The non-relativistic Schrödinger equation can be derived as a limit of the Klein-Gordon equation
the verdict
SUPPORTED
the evidence backs this
confidence 77/100
The claim that the non-relativistic Schrödinger equation can be derived as a limit of the Klein-Gordon equation is fully supported by multiple mathematical and physical analyses.
Evidence for · 6
Higher order asymptotic analysis of the Klein–Gordon equation in the non-relativistic limit regime
2017 · cited by 1
The study demonstrates that the nonlinear Klein-Gordon equation can be approximated by nonlinear Schrödinger equations in the non-relativistic limit regime.
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More for · 5
The Klein-Gordon equation with relativistic mass: a relativistic Schrödinger equation
2025 · cited by 0
The work notes that the non-relativistic, quasi-static limit of the Klein-Gordon equation simply yields the Schrödinger equation under general conditions.
Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Asymptotics
2025 · cited by 0
The research analyzes the low-frequency phase space regime where the Klein-Gordon equation is approximable by the usual Schrödinger equation.
Microlocal analysis of the non-relativistic limit of the Klein--Gordon equation: Estimates
2025 · cited by 0
The study establishes robust global estimates showing the Klein-Gordon equation approaches the Schrödinger equation in the non-relativistic limit.
Non relativistic limit of the nonlinear Klein-Gordon equation: Uniform in time approximation of KAM solutions
2025 · cited by 0
The investigation proves that solutions to the cubic nonlinear Klein-Gordon equation converge to solutions of the cubic non-linear Schrödinger equation in the non-relativistic limit.
Non-relativistic limit for the cubic nonlinear Klein-Gordon equations
2023 · cited by 0
The paper confirms the non-relativistic limit of defocusing cubic nonlinear Klein-Gordon equations where modulated profiles are solutions to a Schrödinger equation.