3 papers
quant-ph2026
On a certain inequality for the sum of norms and reverse uncertainty relations
K. Urbanowski
We prove a simple inequality for a sum of squares of norms of two vectors in an inner product space. Next, using this inequality we derive the so--called "reverse uncertainty relat…
quant-ph2026
Notes on some inequalities, resulting uncertainty relations and correlations
Krzysztof Urbanowski
We analyze the Schwarz inequality and its generalizations, as well as inequalities resulting from the Jensen inequality. They are used in quantum theory to derive the Heisenberg-Ro…
quant-ph2026
On some states minimizing uncertainty relations: A new look at these relations
Krzysztof Urbanowski
Analyzing Heisenberg--Robertson (HR) and Schrödinger uncertainty relations we found, that there can exist a large set of states of the quantum system under considerations, for whi…