Quantum free-fall motion and quantum violation of the weak equivalence principle

Flores, Philip Caesar; Galapon, Eric A.

doi:10.1103/physreva.99.042113

Cited by 17 publications

(4 citation statements)

References 50 publications

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“…In fact, Grot, Rovelli, and Tate treated the singularity of (5) by symmetric regularization and obtained equation ( 6) via the standard Born rule [64]. The generalizations of equations (5) and (6) in the presence of interaction potential have been investigated in various works [16,31,[70][71][72][73][74][75]. Using these developments, it has been shown that the non-self-adjointness of the free arrival time operator can also be lifted by spatial confinement [71,76], and the above arrival time distribution could be derived from the limit of the arrival time distribution in a confining box as the length of the box increases to infinity [72].…”

Section: B "Standard" Approachmentioning

confidence: 99%

Can the double-slit experiment distinguish between quantum interpretations?

Ayatollah

Kazemi

Bahrampour

et al. 2023

Preprint

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Despite the astonishing successes of quantum mechanics, due to some fundamental problems such as the measurement problem and quantum arrival time problem, the predictions of the theory are in some cases not quite clear and unique. Especially, there are various predictions for the joint spatiotemporal distribution of particle detection events on a screen, which are derived from different formulations and interpretations of the quantum theory. Although the differences are typically small, our studies show that these predictions can be experimentally distinguished by an unconventional double-slit configuration, which is realizable using present-day single-atom interferometry.

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Section: B "Standard" Approachmentioning

confidence: 99%

Can the double-slit experiment distinguish between quantum interpretations?

Ayatollah

Kazemi

Bahrampour

et al. 2023

Preprint

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show abstract

“…One of us has shown that Pauli has made some implicit assumptions and that these were inconsistent [8]. This opens up an avenue to still consider TOA as an observable in standard quantum mechanics [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. Moreover, it was discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Relativistic free motion time of arrival operator for massive spin-0 particles with positive energy

Flores,

Galapon

2022

Preprint

Self Cite

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A relativistic version of the Aharonov-Bohm time of arrival operator for spin-0 particles was constructed by Razavi in [Il Nuovo Cimento B 63, 271 (1969)]. We study the operator in detail by taking its rigged Hilbert space extension. It is shown that the rigged Hilbert space extension of the operator provides more insights into the time of arrival problem that goes beyond Razavi's original results. This allows us to use time of arrival eigenfunctions that exhibit unitary arrival to construct time of arrival distributions. The expectation value is also calculated and shown to have quantum correction terms which can cause a particle to either arrive earlier or later than expected. Lastly, the constructed TOA distribution and TOA expectation value are shown to be consistent with special relativity.

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“…Theoretical investigations have offered a wide variety of approaches to the WEP in the quantum domain [22][23][24][25][26][27][28][29][30]. However, quantum particles differ critically from classical point-like particles in many respects, because of their wave-like features and inherent spacial extension.…”

Section: Introductionmentioning

confidence: 99%

Gravity-induced geometric spin Hall effect of freely falling quantum particle

Wang

Chen²

2022

Commun. Theor. Phys.

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We discuss a new gravitational effect that the wave packet of free-fall quantum particle undergoes a spin-dependent transverse shift in Earth’s gravitational field. This effect is similar to the geometric spin Hall effect (GSHE) [Aiello et al., Phys. Rev. Lett. 103, 100401 (2009)], and can be called gravity-induced GSHE. This effect suggests that the free-fall wave packets of opposite spin-polarized quantum particles can be split in the direction perpendicular to spin and gravity.

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Quantum free-fall motion and quantum violation of the weak equivalence principle

Cited by 17 publications

References 50 publications

Can the double-slit experiment distinguish between quantum interpretations?

Can the double-slit experiment distinguish between quantum interpretations?

Relativistic free motion time of arrival operator for massive spin-0 particles with positive energy

Gravity-induced geometric spin Hall effect of freely falling quantum particle

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