Mechanical Pendulums vs QM Simulator

In mechanics, in the area of dynamical system, a N-tuple pendulum is a set of N simple pendulums attached to each other. These N-tuple pendulums are physical systems that exibits rich dynamical behavior. For certain energies, are the motion of these mechanical pendulums often chaotic. You can influence the motion of the pendulums by holding your device in different positions. The equations of motions of these pendulums has been derived using the Sophia mechanical package. The different set of differential equations are solved using the 4:th order Runge-Kutta method for the time stepping. Within this application you can switch between these mechanical pendulums: - Double - Triple - Quadruple - Quintuple - Sextuple - Octuple - Symmtric Double - Simple 3-Dimensional The visualization of the pendulums can be viewed in either a Quartz view or in an OpenGL view.

QM Simulator is a hands-on quantum physics atlas: 54 interactive simulation modules spanning the full arc from quantum foundations to quantum information, paired with 47 bilingual articles. Every computation and rendering happens on your device — no network, no sign-up. WHAT YOU CAN DO • Play with parameters: adjust slit spacing, raise a potential barrier, tune cavity coupling — every chart recomputes in real time. • Learn by level: Basics → Advanced (perturbation, degeneracy, radiation) → Topics (Bell inequalities, quantum error correction, Grover's algorithm), from high-school extension to university QM. • Read linked notes: each article is tied to its simulation, with formulas and figures side by side — switch between Chinese and English anytime. • Explore freely: Bloch sphere, hydrogen wavefunctions, blackbody radiation, Compton scattering, Kronig–Penney, BB84 quantum key distribution — from Planck's 1900 hypothesis to today's quantum computing. WHO IT'S FOR • Physics students: turn textbook formulas into images you can see and manipulate. • Educators & researchers: validate intuitions and demonstrate in class. • The curious: no derivation skills needed — dial the parameters and build quantum intuition. HIGHLIGHTS • 54 simulation modules, all driven by real physics computation (not pre-baked animations). • 47 in-depth articles, fully bilingual, with figures and code. • Fully offline: no ads, no purchases, no tracking, no account required. • Chinese & English UI, follows system language. Educational use: QM Simulator works as a lecture-demonstration companion for quantum mechanics courses.