The quantum harmonic oscillator is fundamental to physical modeling
The quantum harmonic oscillator is a fundamental building block in physical modeling, serving as the standard baseline for molecular vibrations, spectroscopy, and thermodynamic calculations.
The claim is specific, empirical, and well-supported by multiple physics and chemistry papers that rely on the harmonic oscillator approximation, vibrational modes, and related analytical solutions as foundational tools.
Pracht P, Pillai Y, Kapil V, Csányi G, Gönnheimer N, Vondrák M, Margraf JT, Wales DJ. Efficient Composite Infrared Spectroscopy: Combining the Double-Harmonic Approximation with Machine Learning Potentials.. 2024. https://doi.org/10.1021/acs.jctc.4c01157
Paper 0 utilizes the double-harmonic approximation and harmonic vibrational frequencies as a cornerstone for efficient infrared spectroscopy and molecular characterization.
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Khan D, Benali A, Kim SYH, von Rudorff GF, von Lilienfeld OA. Quantum mechanical dataset of 836k neutral closed-shell molecules with up to 5 heavy atoms from C, N, O, F, Si, P, S, Cl, Br.. 2025. https://doi.org/10.1038/s41597-025-05428-4
Paper 1 provides comprehensive quantum mechanical datasets featuring vibrational modes and harmonic-related thermodynamic properties as fundamental benchmarks for molecules.
Wander B, Musielewicz J, Cheula R, Kitchin JR. Accessing Numerical Energy Hessians with Graph Neural Network Potentials and Their Application in Heterogeneous Catalysis.. 2025. https://doi.org/10.1021/acs.jpcc.4c07477
Paper 4 uses the potential energy Hessian and harmonic approximations to determine Gibbs free energy and vibrational entropy in catalytic systems.
Hsu CY, Singh PK, Onate CA, Yusupov Y, Jumanazarov D, Mahariq I, Rajhi AA. Information theory and thermodynamic study of a 2D harmonic oscillator modified by inverse-square potential.. 2025. https://doi.org/10.1038/s41598-025-33259-1
Paper 5 analytically solves the two-dimensional quantum harmonic oscillator coupled with external fields, highlighting its fundamental role in low-dimensional quantum mechanics and thermodynamics.
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