> For the complete documentation index, see [llms.txt](https://lewisla.gitbook.io/learning-quantum/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://lewisla.gitbook.io/learning-quantum/physics/physics-summary.md).

# Physics Summary

## Classical vs. Quantum Mechanics

To a certain extent, we have an intuitive understanding of classical mechanics. Objects in the real world are affected by forces - measurable amounts of energy used to do some work.

We understand that in order to pick up a chair, it takes more work than picking up a pen. It's clearly that things that *weigh* more (or posses more *mass*) take more energy to move. The exact nature of these relationships can and have been quantified.

The way that very, very, *very* small things act isn't like this at all - and it's not intuitive. It is, in fact, super weird. In this chapter we'll cover a basic understanding of exactly how and why it's so weird.

## Material

In this section we'll cover the idea of forces, physical relationships, and basic quantum concepts.

### Review Material

* Mass
* Position
* Force
* Newtons 2nd Law

### New Material

* $$n$$-dimensional space
* Complex numbers
* Quantum vectors
* Superposition 
* The wave function
* Hamiltonian
* Schrodinger Equation

## Resources

### Additional Info & Problem Sets Summary

Below is a list of all of the extra detail & problem sets included in this section of the tutorial:

#### [Classical Mechanics](/learning-quantum/physics/classical-mechanics.md)

* [More on the difference between weight and mass](https://www.khanacademy.org/science/physics/forces-newtons-laws/normal-contact-force/a/what-is-weight)
* [An introduction to Newton's First Law](https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/a/what-is-newtons-first-law)
* [More information about position vs. time graphs and how they're use](https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/a/position-vs-time-graphs)
* [A detailed summary of Newton's Second Law](https://www.khanacademy.org/science/ap-physics-1/ap-forces-newtons-laws/newtons-second-law-ap/v/newton-s-second-law-of-motion)
* [Problems for Newton's Second Law](https://www.khanacademy.org/science/ap-physics-1/ap-forces-newtons-laws/newtons-second-law-ap/e/newton-s-second-law)

#### [Quantum Mechanics](/learning-quantum/physics/quantum-mechanics.md)

* [An introduction to imaginary numbers](https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:imaginary/v/introduction-to-i-and-imaginary-numbers)
* [An explanation of complex numbers](https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:complex/x2ec2f6f830c9fb89:complex-num/v/complex-number-intro)
* [More information about quantum vectors](http://physics.mq.edu.au/~jcresser/Phys301/Chapters/Chapter8.pdf)
* [An overview of how probability works](https://www.khanacademy.org/math/statistics-probability/probability-library/basic-theoretical-probability/a/probability-the-basics)
* [An explanation of what the wave function is](https://www.khanacademy.org/science/physics/quantum-physics/atoms-and-electrons/v/quantum-wavefunction)