<i>The Theory of Electron–Atom Collisions</i>

Drukarev, G. F.; Davies, Diane

doi:10.1063/1.3048129

Cited by 12 publications

(12 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29) into the above expressions gives after using eqs. (11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25) and (II-50),…”

Section: Appendix a Derivation Of Equation (Ll-i42)unclassified

“…By using the gauge in which the scalar potential vanishes, the electric field E(r;, t) can be described by a vector potential A(r, t) through the relationship With J(r) defined as eq. (11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28). When the medium is acted upon by the field A(r,t), the total current operator at thp time t becomes J(r,t) = J(r)+J A (r,t).…”

Section: Dt (Ii-u6)mentioning

confidence: 99%

“…Recalling H and Eqs (II-5), (11)(12)(13)(14)(15)(16)(17)(18)(19)(20) where N" is the number of the molecules of kind S in L and e . and m .…”

Section: ™)mentioning

confidence: 99%

“…(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29) and the use of eq. (II-30) gives, after a straightforward manipulation (see Appendix A), He showed that the response can be described by electric conductivity tensor : 9…”

Section: ™)mentioning

confidence: 99%

“…(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25) Ti (k) is the occupation number of photons with-ftk and \, and D is the density operator of the whole system (particles and radiation).…”

Section: (Ik)mentioning

confidence: 99%

See 4 more Smart Citations

Contribution of Neutral Atoms to the Absorption of Photons in Plasmas

Tsai¹,

Akcasu²,

Osborn³

1968

View full text Add to dashboard Cite

Section: Appendix a Derivation Of Equation (Ll-i42)unclassified

Section: Dt (Ii-u6)mentioning

confidence: 99%

“…Recalling H and Eqs (II-5), (11)(12)(13)(14)(15)(16)(17)(18)(19)(20) where N" is the number of the molecules of kind S in L and e . and m .…”

Section: ™)mentioning

confidence: 99%

Section: ™)mentioning

confidence: 99%

Section: (Ik)mentioning

confidence: 99%

See 3 more Smart Citations

Contribution of Neutral Atoms to the Absorption of Photons in Plasmas

Tsai¹,

Akcasu²,

Osborn³

1968

View full text Add to dashboard Cite

Phase Shifts and Scattering Cross Sections of the Particles of Non‐ideal Semiclassical Plasmas Based on the Dynamic Interaction Potential

Dzhumagulova

Shalenov

Ramazanov

et al. 2015

Contrib. Plasma Phys.

View full text Add to dashboard Cite

show abstract

Spin‐free quantum chemistry: What one can gain from fock's cyclic symmetry

Luzanov

2010

Int J of Quantum Chemistry

View full text Add to dashboard Cite

ABSTRACT:The spin-free wave function due to Fock (Zh Eksp Teor Fiz, 1940, 10, 961) is re-examined with a stress on the reduced density matrix (RDM) theory. The key notion of the Fock approach is the cyclic symmetry of wave functions. It is a specific algebraic identity involving transpositions of numbers taken from two different columns of the corresponding Young tableau. We show first how to construct symmetry adapted states by accounting for high-order cyclic symmetry conditions. For Young's projectors, it gives a new expression including nothing but antisymmetrizers. Next, transforming the Fock spin-free state by a duality operator (the star operator in exterior algebra), we arrive at the representation closely related to spin-flip models. In such spin-flip models, a coupling operator is the basic object for which we show that the cyclic symmetry is transformed into a tracelessness of the coupling operator. The main results are related to the spin-free theory of spin properties. In particular, the theorem previously stated (Luzanov and Whyman, Int J Quantum Chem, 1981, 20, 1179) is refined by an explicit general representation of spin density operators through spin-free (charge) RDMs. Some applications implicating high-order RDMs (collectivity numbers, the unpaired electron problem, cumulant spin RDMs, spin correlators, etc.) are also considered. For spin-free RDM components, a new projection procedure without constructing any symmetry adapted state is proposed. An unsolved problem of constructing orthogonal representation matrices within the Fock theory is raised.

show abstract

The Theory of Electron–Atom Collisions

Cited by 12 publications

References 0 publications

Contribution of Neutral Atoms to the Absorption of Photons in Plasmas

Contribution of Neutral Atoms to the Absorption of Photons in Plasmas

Phase Shifts and Scattering Cross Sections of the Particles of Non‐ideal Semiclassical Plasmas Based on the Dynamic Interaction Potential

Spin‐free quantum chemistry: What one can gain from fock's cyclic symmetry

Contact Info

Product

Resources

About