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The Schrodinger and Heisenberg pictures are equivalent
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Theorems
Folder: Theorems
43 items under this folder.
May 15, 2024
All involuntary operators are unitary
algebra
May 15, 2024
All operators can be decomposed into hermitian and anti-hermitian components
algebra
calculus
May 15, 2024
Angular Momentum is conserved iff the potential is invariant under rotations
quantum-theory
May 15, 2024
Cauchy-Schwarz inequality
algebra
May 15, 2024
Commutators are anti-commutative
algebra
May 15, 2024
Commutators are bilinear
algebra
May 15, 2024
Commutators satisfy the Jacobi Identity
algebra
May 15, 2024
Density operators are diagonalizable
quantum-theory
algebra
May 15, 2024
Eigenstate measurements are deterministic
quantum-theory
theorem
May 15, 2024
Einstein-Planck relation
physics
May 15, 2024
Finding interferometer phase
interferometry
May 15, 2024
Fourier Uncertainty Principle
calculus
May 15, 2024
Fourier tranform's inverse is it's adjoint
calculus
May 15, 2024
Group relations
group-theory
diagram
May 15, 2024
Heisenberg Equation of Motion
May 15, 2024
Heisenberg Uncertainty Principle
quantum-mechanics
May 15, 2024
Hermitian Operators are Self-Adjoint
theorem
algebra
May 15, 2024
In finite dimensional spaces, hermitian = symmetric = self-adjoint
algebra
theorem
May 15, 2024
Liouville–von Neumann equation
quantum-theory
May 15, 2024
MLE with normally distributed model
calculus
statistics
May 15, 2024
Matrix multiplication distributes over commutation
algebra
May 15, 2024
Measurement uncertainty is bigger than the expectation squared
quantum-theory
May 15, 2024
Newton's 2nd law
May 15, 2024
No-cloning theorem
quantum-theory
May 15, 2024
Norms are non-negative
metric-spaces
May 15, 2024
Pauli exclusion principle
quantum-theory
May 15, 2024
Pauli matrices are involuntory
quantum-theory
algebra
May 15, 2024
Pauli matrices are unitary
algebra
May 15, 2024
Pauli matrices have determinant -1
algebra
May 15, 2024
Pauli matrices have trace 0
algebra
May 15, 2024
Plancherel Theorem
functional-analysis
May 15, 2024
Position and momentum operators are canonical conjugates
quantum-theory
May 15, 2024
Positive operators have a unique positive square root
algebra
May 15, 2024
Quantum states' inner product is time independent
quantum-mechanics
May 15, 2024
Separable Hamiltonians evolve independently
quantum-mechanics
May 15, 2024
Spectral theorem
linear-algebra
May 15, 2024
Stokes theorem
calculus
May 15, 2024
Table of integrals
calculus
lookup-table
May 15, 2024
The Fourier Transform is isometric
calculus
May 15, 2024
The Schrodinger and Heisenberg pictures are equivalent
quantum-mechanics
May 15, 2024
There is no measurement uncertainty iff the eigenstate is in the kernel of the operator
measurement
May 15, 2024
Time-independent Schrodinger equation derivation
quantum-theory
calculus
May 15, 2024
Universal property of tensor products
algebra
topology