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Cartesian Product

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Cartesian Product

May 03, 20241 min read

metric-spaces

The cartesian product of two sets $V_{1} \times V_{2}$ is the set ${(v_{1}, v_{2}) : v_{1} \in V_{1}, v_{2} \in V_{2}}$ .

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️❯ Principles of Quantum Mechanics
️❯ Direct Sum
️❯ Tensor product

Latest edits

❯ Pauli matrices are involuntory
❯ Pauli matrices are unitary
❯ Pauli matrices have determinant -1
❯ Pauli matrices have trace 0
❯ Plancherel Theorem
❯ Position and momentum operators are canonical conjugates
❯ Positive operators have a unique positive square root
❯ Quantum states' inner product is time independent
❯ Separable Hamiltonians evolve independently
❯ Spectral theorem

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