![MathType on Twitter: "The quantum harmonic oscillator is one of the most important systems in quantum mechanics for which an exact analytical solution of the Schrödinger equation is known. The solution depends MathType on Twitter: "The quantum harmonic oscillator is one of the most important systems in quantum mechanics for which an exact analytical solution of the Schrödinger equation is known. The solution depends](https://pbs.twimg.com/media/Fi5qXNFXEAEAHFn.jpg)
MathType on Twitter: "The quantum harmonic oscillator is one of the most important systems in quantum mechanics for which an exact analytical solution of the Schrödinger equation is known. The solution depends
A simple harmonic oscillator has an amplitude a and time period T. The time required by it to travel from x = a to x = a / 2 is
![Physical implications of the simple harmonic oscillator quantum mechanical solutions - Chemistry Stack Exchange Physical implications of the simple harmonic oscillator quantum mechanical solutions - Chemistry Stack Exchange](https://i.stack.imgur.com/V13RX.png)
Physical implications of the simple harmonic oscillator quantum mechanical solutions - Chemistry Stack Exchange
![Illustration of the set-up for the simple harmonic oscillator. Image... | Download Scientific Diagram Illustration of the set-up for the simple harmonic oscillator. Image... | Download Scientific Diagram](https://www.researchgate.net/publication/338767473/figure/fig1/AS:851602038611969@1580049156571/Illustration-of-the-set-up-for-the-simple-harmonic-oscillator-Image-taken-from-Thorton.png)