11 papers
Quantum Zeno-like Paradox for Position Measurements: A Particle Precisely Found in Space is Nowhere to be Found in Hilbert Space
Xabier Oianguren-Asua, Roderich Tumulka
On a quantum particle in the unit interval , perform a position measurement with inaccuracy and then a quantum measurement of the projection with…
Dirac Wave Functions of Positive Energy with Arbitrarily Small Position Uncertainty
Ilmar Bürck, Roderich Tumulka
We consider wave functions in the Hilbert space of a single Dirac particle, specifically from the positive-energy subspace $\mathcal{H}…
Velocity of a Quantum Particle in a Classically Forbidden Region
Christian Beck, Sheldon Goldstein, Dustin Lazarovici +2
Recently, Sharoglazova et al. [Nature 643, 67 (2025)] proposed a procedure for determining the speed of a quantum particle in the classically forbidden region of a potential step,…
Detection Time Distribution Predicted Using Absorbing Boundary Conditions and Imaginary Potentials
Alireza Jozani, Roderich Tumulka
There are several inequivalent proposals in the literature for how to compute the probability distribution of the time that a detector registers for the arrival of a quantum partic…
Scattering Cross Section Formula Derived From Macroscopic Model of Detectors
Rashi Kaimal, Roderich Tumulka
We are concerned with the justification of the statement, commonly (explicitly or implicitly) used in quantum scattering theory, that for a free non-relativistic quantum particle w…
Grand-Canonical Typicality
Cedric Igelspacher, Roderich Tumulka, Cornelia Vogel
We study how the grand-canonical density matrix arises in macroscopic quantum systems. ``Canonical typicality'' is the known statement that for a typical wave function from a…