When this statement's operators are related by Fourier transforms, it can be derived from the Cauchy-Schwarz inequality. This statement was explained by its namesake in a thought experiment of a gamma-ray microscope. The Bohr model violates this condition because it assigns a fixed angular momentum 
When this statement's operators are related by Fourier transforms, it can be derived from the Cauchy-Schwarz inequality. This statement was explained by its namesake in a thought experiment of a gamma-ray microscope. The Bohr model violates this condition because it assigns a fixed angular momentum to each quantized orbital. One form of this statement multiples energy and time, and this principle's most common form sets the product of two standard deviations as greater than or equal to h-bar over two. For 10 points, name this principle that states it is impossible to determine the position and momentum of a particle simultaneously, named for a German physicist.
When this statement's operators are related by Fourier transforms, it can be derived from the Cauchy-Schwarz inequality.
Heisenberg uncertainty principle [prompt on "uncertainty principle"; prompt on "principle of indeterminacy"]