În afara temei aiqbench
Această știre a fost preluată de la o sursă pe care o urmărim, dar nu ține de domeniul AI sau cuantic, așa că nu există o perspectivă aiqbench pentru ea.
México Team Predicts Quantum Energy Levels Using New Equations
For some power-law potentials, energy levels calculated using Bohr-Sommerfeld rules typically drift further from accuracy as calculations progress, until now. New quantization conditions incorporating a dimensionless WKB correction accurately reproduce exact energy values while remaining exceptionally small across both attractive and repulsive scenarios. This approach offers an alternative route toward simplifying complex quantum mechanical modelling without sacrificing precision, particularly at higher excitation states.
New methods calculate energy levels in systems with radial potentials across two and three dimensions. These calculations utilise Bohr-Sommerfeld type conditions which converge towards exact values as the system’s radial quantum number increases; specifically matching known solutions for harmonic oscillator and Coulomb potential scenarios. Introducing a dimensionless correction reproduces precise energies while remaining small for both positive and non-positive degrees, aligning well with Langer correction results. Refined methods now exist for calculating…
Extras afișat conform termenilor RSS ai publicației · 72 cuvinte · textul integral și figurile sunt pe site-ul publicației
Subiecte conexe
Scientific Machine Learning of Chaotic Systems Learns Reduced-Order Equations for Neural Populations
arXiv · 7 aug. 2026
CARDINAL Predicts Cardiovascular Risk From Non-contrast Cardiac CT
arXiv · 1 sept. 2026
Distilling neural networks into equations to predict planetary instability
arXiv · 27 oct. 2026
The Langevin-equation description of optomechanics with the dispersive and dissipative optomechanical coupling
arXiv · 20 iul. 2026