What question did this study set out to answer?

To explore new classes of quantum states that minimize uncertainty relations and assess their implications for observables.

March 26, 2026Modern Physics Letters A

On some states minimizing uncertainty relations: A new look at these relations

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Authors

KUK. Urbanowski

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Implication

Analyzes uncertainty relations in quantum systems, revealing unique states with zero standard deviation products, indicating new aspects of quantum behavior.

Key Points

To explore new classes of quantum states that minimize uncertainty relations and assess their implications for observables.
Analyzed the Heisenberg-Robertson and Robertson-Schrödinger uncertainty relations.
Examined a large set of states of the quantum system and their correlations.
Investigated the product of standard deviations of non-commuting observables.
Identified states where the product of standard deviations of observables A and B can be zero.
Showed that these states differ from traditional eigenstates of observables.
Determined that sum uncertainty relations do not yield information about lower bounds for these states.

Cite This Study

K. Urbanowski (2026) studied this question.

synapsesocial.com/papers/69c4cd5afdc3bde44891984e https://doi.org/10.1142/s0217732326501063

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Implication

Analyzes uncertainty relations in quantum systems, revealing unique states with zero standard deviation products, indicating new aspects of quantum behavior.

On some states minimizing uncertainty relations: A new look at these relations

Discussion

Member takes

Implication

Key Points

Cite This Study

On some states minimizing uncertainty relations: A new look at these relations

Discussion

Member takes

Implication

Key Points

Cite This Study

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