Blog contents General principles No-cloning theorem Lower bound on survival probability Virial theorem Uncertainty relations Cauchy-Schwarz inequality Robertson-SchrÃ¶dinger uncertainty relation Mandelstam-Tamm uncertainty relation Mixed states Density operator of a subsystem Density operator at thermal equilibrium One-dimensional systems Free-particle Gaussian wave packets Motion under a spatially uniform time-dependent force Harmonic oscillator with a time-dependent frequency Every purely attractive potential in 1D has at least one bound state Two-dimensional systems Two-dimensional hydrogen atom Two-dimensional hydrogen atom as a harmonic oscillator Momentum representation SchrÃ¶dinger equation in momentum space Hydrodynamic representation Madelung equations Phase-space representation Wigner function: States Wigner function: Observables Approximations Free particle: Long time evolution Numerical methods Chebyshev polynomial expansion of the time-evolution operator Share Get link Facebook Twitter Pinterest Email Other Apps Share Get link Facebook Twitter Pinterest Email Other Apps