Effect of the finite speed of light in ionization of extended molecular systems

AbstractWe study propagation effects due to the finite speed of light in ionization of extended molecular systems. We present a general quantitative theory of these effects and show under which conditions such effects should appear. The finite speed of light propagation effects are encoded in the non-dipole terms of the time-dependent Shrödinger equation and display themselves in the photoelectron momentum distribution projected on the molecular axis. Our numerical modeling for the $$\hbox {H}_{2}^{+}$$ H 2 + molecular ion and the $$\hbox {Ne}_2$$ Ne 2 dimer shows that the finite light propagation time from one atomic center to another can be accurately determined in a table top laser experiment which is much more readily accessible than the ground breaking synchrotron measurement by Grundmann et al. (Science 370:339, 2020).

Download Full-text

Effect of the finite speed of light in ionization of extended molecular systems

10.21203/rs.3.rs-807964/v1 ◽

2021 ◽

Author(s):

I. A. Ivanov ◽

Anatoli S. Kheifets ◽

Kyung Taec Kim

Keyword(s):

Numerical Modeling ◽

Momentum Distribution ◽

Light Propagation ◽

Time Dependent ◽

Propagation Time ◽

Speed Of Light ◽

Molecular Systems ◽

Finite Speed ◽

Propagation Effects ◽

Laser Experiment

Abstract We study propagation effects due to the finite speed of light in ionization of extended molecular systems. We present a general quantitative theory of these effects and show under which conditions such effects should appear. The finite speed of light propagation effects are encoded in the non-dipole terms of the time-dependent Shrödinger equation and display themselves in the photoelectron momentum distribution projected on the molecular axis. Our numerical modeling for the H + 2 molecular ion and the Ne 2 dimer shows that the finite light propagation time from one atomic center to another can be accurately determined in a table top laser experiment which is much more readily affordable than the ground breaking synchrotron measurement by Grundmann et al [Science 370, 339 (2020)].

Download Full-text

Hartree–Fock exchange in time dependent density functional theory: application to charge transfer excitations in solvated molecular systems

Chemical Physics Letters ◽

10.1016/j.cplett.2004.06.121 ◽

2004 ◽

Vol 394 (1-3) ◽

pp. 141-146 ◽

Cited By ~ 39

Author(s):

Leonardo Bernasconi ◽

Michiel Sprik ◽

Jürg Hutter

Keyword(s):

Density Functional Theory ◽

Charge Transfer ◽

Density Functional ◽

Time Dependent ◽

Functional Theory ◽

Molecular Systems ◽

Hartree Fock ◽

Theory Application ◽

Dependent Density

Download Full-text

Transition probabilities of molecular systems in presence-of-time-dependent electric fields

10.1117/12.437237 ◽

2001 ◽

Author(s):

Ines Urdaneta ◽

J. L. Paz ◽

J. Recamier

Keyword(s):

Electric Fields ◽

Transition Probabilities ◽

Time Dependent ◽

Molecular Systems

Download Full-text

TEMPERATURE-DEPENDENCE OF PROTON CONDUCTIVITY IN HYDROGEN-BONDED MOLECULAR SYSTEMS

Modern Physics Letters B ◽

10.1142/s0217984907013432 ◽

2007 ◽

Vol 21 (19) ◽

pp. 1239-1252 ◽

Cited By ~ 1

Author(s):

XIAO-FENG PANG ◽

BO DENG ◽

HUAI-WU ZHANG ◽

YUAN-PING FENG

Keyword(s):

Experimental Data ◽

Electric Field ◽

Temperature Dependence ◽

Electric Conductivity ◽

Proton Conductivity ◽

Model System ◽

Time Dependent ◽

Molecular Systems ◽

Damping Effect ◽

Hydrogen Bonded

The temperature-dependence of proton electric conductivity in hydrogen-bonded molecular systems with damping effect was studied. The time-dependent velocity of proton and its mobility are determined from the Hamiltonian of a model system. The calculated mobility of (3.57–3.76) × 10-6 m 2/ Vs for uniform ice is in agreement with the experimental value of (1 - 10) × 10-2 m 2/ Vs . When the temperature and damping effects of the medium are considered, the mobility is found to depend on the temperature for various electric field values in the system, i.e. the mobility increases initially and reaches a maximum at about 191 K, but decreases subsequently to a minimum at approximately 241 K, and increases again in the range of 150–270 K. This behavior agrees with experimental data of ice.

Download Full-text

Numerical modeling of time-dependent bio-convective stagnation flow of a nanofluid in slip regime

Results in Physics ◽

10.1016/j.rinp.2017.08.059 ◽

2017 ◽

Vol 7 ◽

pp. 3325-3332 ◽

Cited By ~ 23

Author(s):

Rakesh Kumar ◽

Shilpa Sood ◽

Sabir Ali Shehzad ◽

Mohsen Sheikholeslami

Keyword(s):

Numerical Modeling ◽

Time Dependent ◽

Stagnation Flow ◽

Slip Regime

Download Full-text

Numerical Modeling for Time-Dependent Problems

Neutronic Analysis For Nuclear Reactor Systems ◽

10.1007/978-3-030-04906-5_14 ◽

2019 ◽

pp. 467-482

Author(s):

Bahman Zohuri

Keyword(s):

Numerical Modeling ◽

Time Dependent ◽

Time Dependent Problems

Download Full-text

MENTAL REPRESENTATIONS OF LIGHT PROPAGATION TIME FOR 10- AND 14-YEAR-OLD STUDENTS: DIDACTICAL PERSPECTIVES

Journal of Baltic Science Education ◽

10.33225/jbse/19.18.276 ◽

2019 ◽

Vol 18 (2) ◽

pp. 276-285

Author(s):

Konstantinos Ravanis

Keyword(s):

Science Education ◽

School Children ◽

Light Propagation ◽

Mental Representations ◽

Propagation Time ◽

Significant Progress ◽

Education Students ◽

Cross Sectional ◽

Individual Interviews ◽

Research Show

Student’s mental representations of physical concepts are often different from those of scientists. The research aimed to identify and compare mental representations of light propagation time by school children aged 10 (132 subjects), and 14 (109 subjects) years old. This research was conducted through individual interviews in which the students were asked to locate light propagation time in various tasks-experimental situations. The results of this research show that even though the students of two groups face difficulties in understanding light propagation time, as they grow older, they make statistically significant progress in constructing the conception of light propagation time. These findings allow to seek out educational perspectives on the understanding of the conception of light propagation time in organised scholastic environments. Keywords: cross-sectional research, light propagation time, science education, students’ representations.

Download Full-text