FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2014664039> ?p ?o ?g. }

• W2014664039 endingPage "2345" @default.
• W2014664039 startingPage "2321" @default.
• W2014664039 abstract "This paper presents a thorough unified treatment of the electric and magnetic multipole operators and the dynamics of a moving molecular system of electrons and nuclei in the presence of an arbitrary (semiclassical) electromagnetic field. The multipole operators are expressed in terms of rjc, the position of each of the particles j relative to the center of mass rc, the velocities ?jc and ?c, and the spins sj. Two levels of precision of the multipole operators and dynamics are considered: The ’’nonrelativistic’’ approximation including all terms which vary as 1/c (where c is the velocity of light) suffices for most practical applications. The multipole moments are determined by the Lorentz force on the molecule. Also, the multipole operators are related to the electric and magnetic polarization operators Popc and Mopc, respectively, as well as to the effective charge and effective current on the molecule. The Lagrangian is then determined by rearranging the ’’Newtonian’’ equations of motion into the Lagrangian form. In both the Hamiltonian and the Lagrangian, terms involving Popc and Mopc couple the external fields to the molecular dynamics. The Hamiltonian is also derived in the ’’quantum mechanical fashion’’ by making a Power–Zienau–Woolley type transformation of the usual ’’minimal coupling’’ Hamiltonian. The new coordinates are rc and a set of (N−1) linearly independent combinations of the rjc. In the determination of the electric and magnetic properties of molecules, there are significant advantages in considering moving nuclei and center of mass coordinates rather than assuming clamped nuclei. In order to explain a few very sensitive types of experimental properties, it is necessary to use the semirelativistic approximation which is accurate through all of the α4mc2 or 1/c2 terms and includes all of the fine-structural effects with the exception of the Lamb shift. The electric and magnetic multipole moments were derived in terms of the Kracjik and Foldy semirelativistic coordinates and spins. In addition to the usual ’’dipole length’’ term, the semirelativistic electric dipole operator contains spin–orbit and purely relativistic terms. The related semirelativistic Hamiltonian in the Kracjik–Foldy coordinates is stated but its very complicated derivation will be presented in another paper." @default.
• W2014664039 created "2016-06-24" @default.
• W2014664039 creator A5066742416 @default.
• W2014664039 creator A5073813004 @default.
• W2014664039 creator A5087783229 @default.
• W2014664039 date "1981-09-01" @default.
• W2014664039 modified "2023-09-23" @default.
• W2014664039 title "Interaction of molecules with electromagnetic fields. II. The multipole operators and dynamics of molecules with moving nuclei in electromagnetic fields" @default.
• W2014664039 cites W1967637482 @default.
• W2014664039 cites W1970133579 @default.
• W2014664039 cites W1971297214 @default.
• W2014664039 cites W1973294387 @default.
• W2014664039 cites W1973535709 @default.
• W2014664039 cites W1975295080 @default.
• W2014664039 cites W1975991752 @default.
• W2014664039 cites W1977520496 @default.
• W2014664039 cites W1978390136 @default.
• W2014664039 cites W1978598302 @default.
• W2014664039 cites W1979115603 @default.
• W2014664039 cites W1980296298 @default.
• W2014664039 cites W1980676571 @default.
• W2014664039 cites W1987266913 @default.
• W2014664039 cites W1987590290 @default.
• W2014664039 cites W1988982985 @default.
• W2014664039 cites W1991050590 @default.
• W2014664039 cites W1994476830 @default.
• W2014664039 cites W1997094760 @default.
• W2014664039 cites W2002220020 @default.
• W2014664039 cites W2003004908 @default.
• W2014664039 cites W2009882530 @default.
• W2014664039 cites W2011898497 @default.
• W2014664039 cites W2012597616 @default.
• W2014664039 cites W2017830061 @default.
• W2014664039 cites W2020068143 @default.
• W2014664039 cites W2021006217 @default.
• W2014664039 cites W2021727511 @default.
• W2014664039 cites W2026691168 @default.
• W2014664039 cites W2028673385 @default.
• W2014664039 cites W2028985140 @default.
• W2014664039 cites W2029398727 @default.
• W2014664039 cites W2030368471 @default.
• W2014664039 cites W2030484729 @default.
• W2014664039 cites W2031122132 @default.
• W2014664039 cites W2031658907 @default.
• W2014664039 cites W2033541720 @default.
• W2014664039 cites W2033657656 @default.
• W2014664039 cites W2042406144 @default.
• W2014664039 cites W2051918999 @default.
• W2014664039 cites W2052115275 @default.
• W2014664039 cites W2052312990 @default.
• W2014664039 cites W2056730697 @default.
• W2014664039 cites W2058115752 @default.
• W2014664039 cites W2059566245 @default.
• W2014664039 cites W2061471630 @default.
• W2014664039 cites W2063892449 @default.
• W2014664039 cites W2066172734 @default.
• W2014664039 cites W2070062175 @default.
• W2014664039 cites W2070843679 @default.
• W2014664039 cites W2072118670 @default.
• W2014664039 cites W2072280729 @default.
• W2014664039 cites W2075954178 @default.
• W2014664039 cites W2079126576 @default.
• W2014664039 cites W2079407334 @default.
• W2014664039 cites W2080359687 @default.
• W2014664039 cites W2080551653 @default.
• W2014664039 cites W2080842063 @default.
• W2014664039 cites W2086196113 @default.
• W2014664039 cites W2087026423 @default.
• W2014664039 cites W2088199366 @default.
• W2014664039 cites W2088351880 @default.
• W2014664039 cites W2089167240 @default.
• W2014664039 cites W2089459964 @default.
• W2014664039 cites W2109512117 @default.
• W2014664039 cites W2112147791 @default.
• W2014664039 cites W2162345253 @default.
• W2014664039 cites W2164004878 @default.
• W2014664039 cites W2165270277 @default.
• W2014664039 cites W2171512524 @default.
• W2014664039 cites W2223231919 @default.
• W2014664039 cites W2277233124 @default.
• W2014664039 cites W2289275469 @default.
• W2014664039 cites W4248486934 @default.
• W2014664039 cites W4295253594 @default.
• W2014664039 doi "https://doi.org/10.1063/1.442295" @default.
• W2014664039 hasPublicationYear "1981" @default.
• W2014664039 type Work @default.
• W2014664039 sameAs 2014664039 @default.
• W2014664039 citedByCount "16" @default.
• W2014664039 countsByYear W20146640392014 @default.
• W2014664039 countsByYear W20146640392015 @default.
• W2014664039 crossrefType "journal-article" @default.
• W2014664039 hasAuthorship W2014664039A5066742416 @default.
• W2014664039 hasAuthorship W2014664039A5073813004 @default.
• W2014664039 hasAuthorship W2014664039A5087783229 @default.
• W2014664039 hasConcept C115260700 @default.
• W2014664039 hasConcept C121332964 @default.
• W2014664039 hasConcept C126255220 @default.
• W2014664039 hasConcept C130787639 @default.

• next