Detlef D\"urr, arrival-time distributions, and spin in Bohmian
mechanics: Personal recollections and state-of-the-art
- URL: http://arxiv.org/abs/2309.15815v1
- Date: Sun, 24 Sep 2023 01:46:21 GMT
- Title: Detlef D\"urr, arrival-time distributions, and spin in Bohmian
mechanics: Personal recollections and state-of-the-art
- Authors: Siddhant Das
- Abstract summary: I recount here my association with Prof. Detlef D"urr leading to our memorable research collaboration on arrival-time distributions in quantum mechanics.
The "arrival-time problem" in quantum mechanics is examined selectively, with an emphasis on the arrival-time distributions of Bohmian particles.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: I recount here my association with Prof. Detlef D\"urr leading to our
memorable research collaboration on arrival-time distributions in quantum
mechanics. He influenced my life, both personally and professionally, as few
others have or ever will. Detlef is my role model for what a brilliant,
discerning scientist, academic, and mentor can and should be.
The "arrival-time problem" in quantum mechanics is examined selectively, with
an emphasis on the arrival-time distributions of Bohmian particles. In what
follows, the "exotic" Bohmian arrival-time distributions of spin-polarized
electrons accelerating down a cylindrical waveguide [S. Das and D. D\"urr, Sci.
Rep. 9: 2242 (2019)], and some variations thereof are discussed. I shall not go
into the mathematical treatment more than is necessary to spell out the key
results. The intention is to document the circumstances and motivations
underlying the ideas.
Related papers
- Looking for Carroll particles in two time spacetime [55.2480439325792]
Carroll particles with a non-vanishing value of energy are described in the framework of two time physics.
We construct the quantum theory of such a particle using an unexpected correspondence between our parametrization and that obtained by Bars for the hydrogen atom in 1999.
arXiv Detail & Related papers (2023-10-29T15:51:41Z) - Quantum Annealing in Sherrington-Kirkpatrick Spin Glass in Presence of
Time-Dependent Longitudinal Field [0.0]
We numerically solve the time-dependent Schr"odinger equation of the total Hamiltonian when both the fields are made time-dependent and eventually vanish at the same time.
We find, from our exact diaginalization results for small system sizes, evidence for quantum tunneling induced disappearance of the classical Almeida-Thouless phase boundary.
arXiv Detail & Related papers (2023-09-21T06:48:03Z) - Partition of kinetic energy and magnetic moment in dissipative
diamagnetism [20.218184785285132]
We analyze dissipative diamagnetism, arising due to dissipative cyclotron motion in two dimensions, in the light of the quantum counterpart of energy equipartition theorem.
The expressions for kinetic energy and magnetic moment are reformulated in the context of superstatistics.
arXiv Detail & Related papers (2022-07-30T08:07:28Z) - Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space.
We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
arXiv Detail & Related papers (2021-07-02T09:17:55Z) - Bohm's quantum "non-mechanics": An alternative quantum theory with its
own ontology? [0.0]
Bohmian mechanics allows us to establish a direct link between the dynamics exhibited by quantum systems and the local variations of the quantum phase associated with their state.
This goes beyond the passive role typically assigned to this field in Bohmian mechanics, where traditionally trajectories and quantum potentials have received more attention instead.
arXiv Detail & Related papers (2021-05-13T09:31:02Z) - Countering a fundamental law of attraction with quantum wavepacket
engineering [0.0]
Bohmian mechanics was designed to give rise to predictions identical to those derived by standard quantum mechanics.
We show that this interpretation of quantum theory naturally leads to the derivation of interesting new phenomena.
Specifically, we demonstrate how the fundamental Casimir-Polder force, by which atoms are attracted to a surface, may be temporarily suppressed by utilizing a specially designed quantum potential.
arXiv Detail & Related papers (2021-01-27T13:24:43Z) - The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events.
A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
arXiv Detail & Related papers (2021-01-04T16:09:10Z) - Wigner's friend and the quasi-ideal clock [0.0]
In 1962, Eugene P. Wigner introduced a thought experiment that highlighted the incompatibility in quantum theory between unitary evolution and wave function reduction in a measurement.
A class of thought experiments often called Wigner's Friend Scenarios have been providing insights over many frameworks and interpretations of quantum theory.
Recently, a no-go theorem brought attention back to the Wigner's Friend and its potential of putting theories to test.
arXiv Detail & Related papers (2020-09-21T23:29:15Z) - Chaos in Bohmian Quantum Mechanics: A short review [0.0]
We develop a generic theoretical mechanism responsible for the generation of chaos in an arbitrary Bohmian system.
We study the effect of chaos on Bohmian trajectories and study chaos and ergodicity in qubit systems.
Our results shed light on a fundamental problem in Bohmian Mechanics, namely whether there is a dynamical approximation of Born's rule by an arbitrary initial distribution of Bohmian particles.
arXiv Detail & Related papers (2020-09-12T21:01:21Z) - Quantum time dilation in atomic spectra [62.997667081978825]
We demonstrate how quantum time dilation manifests in a spontaneous emission process.
The resulting emission rate differs when compared to the emission rate of an atom prepared in a mixture of momentum wave packets.
We argue that spectroscopic experiments offer a technologically feasible platform to explore the effects of quantum time dilation.
arXiv Detail & Related papers (2020-06-17T18:03:38Z) - Position and spin in relativistic quantum mechanics [68.8204255655161]
The position and spin operators in the Foldy-Wouthuysen representation are quantum-mechanical counterparts of the classical position and spin variables.
The spin-orbit interaction does not exist for a free particle if the conventional operators of the orbital angular momentum and the rest-frame spin are used.
arXiv Detail & Related papers (2020-03-14T07:49:40Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.