22 citations · 162 across the 38 of their papers we have counts for
38 papers
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…
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…
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 whic…
A universe born in a metastable false vacuum state needs not die
K. Urbanowski
We try to find conditions, the fulfillment of which allows a universe born in a metastable false vacuum state to survive and not to collapse. The conditions found are in the form o…
Cosmological "constant" in a universe born in the metastable false vacuum state
Krzysztof Urbanowski
The cosmological constant is a measure of the energy density of the vacuum. Therefore properties of the energy of the system in the metastable vacuum state reflect properties o…
Uncertainty relations: curiosities and inconsistencies
Krzysztof Urbanowski
Analyzing general uncertainty relations one can find that there can exist such pairs of non-commuting observables and and such vectors that the lower bound for the product…