@ProfessorMdoesScience
  @ProfessorMdoesScience
Professor M does Science | Pure vs. mixed quantum states @ProfessorMdoesScience | Uploaded February 2021 | Updated October 2024, 1 hour ago.
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📚 Probability arises in quantum mechanics every time we perform a measurement. However, probability also features more generally in science to describe systems for which we only have partial information. In this video, we consider what happens when we have a system for which we only have partial information, but this system is a quantum system. In these cases, we need to consider both types of probability, and to do so we use pure states and mixed states.

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⏮️ BACKGROUND
Measurements | Concepts: youtu.be/u1R3kRWh1ek
Measurements | Maths: youtu.be/odLwUXKY0Js
State collapse: youtu.be/UaC-gLZ0Zvc

⏭️ WHAT NEXT?
Density operator for pure states: youtu.be/DQEtg8pWT8E
Density operator for mixed states: youtu.be/bg0SMY40q8Q

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Director and writer: BM
Producer and designer: MC
Pure vs. mixed quantum statesProjection operators in quantum mechanicsThe radial equation of central potentialsHomogeneous first order ordinary differential equations2x2 matrices in terms of Pauli matricesThe quantum harmonic oscillatorThe parity operator in quantum mechanicsThe quantum virial theoremEigenvalues and eigenstates in tensor product state spacesHydrogen atom: eigenvalues and eigenfuctionsState collapse in quantum mechanicsHermitian operators in quantum mechanics

Pure vs. mixed quantum states @ProfessorMdoesScience

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