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I have been taking many online courses. In the prerequisites for many courses, it has been mentioned, "basic" quantum mechanics.

It has become important to define where the boundary of basic ends and the advanced level starts, though I believe that is not well defined. I have been studying QM since some time, and hence I want to know what are the basics of QM.

I have a list of topics. Please tell me if anything should be added or excluded.

It has become important to define where the boundary of basic ends and the advanced level starts, though I believe that is not well defined. I have been studying QM since some time, and hence I want to know what are the basics of QM.

I have a list of topics. Please tell me if anything should be added or excluded.

- The concept of wave function and probability
- Uncertainty Principle
- Operator algebra and operator formulation rules (eigenstates, eigenvalues, types of operators and how to use them)
- Schrödinger Equation
- Probability Current density
- Infinite Square Well
- Finite Square Well
- Attractive Delta Function
- Linear Harmonic Oscillator
- The Step Potential
- Angular Momentum
- Spin Angular Momentum
- Central potential problems in 3D
- Maxwell-Boltzmann statistics
- Bose-Einstein Statistics
- Fermi-Dirac Statistics

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