Penning and Stochastic Collisional Ionization of Atoms in an External Electric Field

Abstract

Abstract. The quantum theory for the Penning and stochastic collisional ionization of atoms in an external electric field is developed and based on the operator perturbation theory and Focker-Plank stochastic equation method. Some estimates of the Penning process cross-sections for He -H, Na pairs are given. Àííîòàöèÿ. Ðàçâèòà êâàíòîâàÿ òåîðèÿ ïåííèíãîâñêîé è ñòîõàñòè÷åñêîé ñòîëêíîâèòåëü-íîé èîíèçàöèè àòîìîâ ïðè íàëè÷èè âíåøíåãî ýëåêòðè÷åñêîãî ïîëÿ íà îñíîâå ôîðìàëèçìà îïåðàòîðíîé òåîðèè âîçìóùåíèé è ìåòîäà ñòîõàñòè÷åñêîãî óðàâíåíèÿ Ôîêêåðà-Ïëàíêà. Ïðèâåäåíû îöåíêè ñå÷åíèé ïåííèíãîâñêîãî ïðîöåññà äëÿ ïàð He -H, Na.Êëþ÷åâûå ñëîâà: ïåííèíãîâñêàÿ èîíèçàöèÿ, ñòîõàñòè÷åñêàÿ ñòîëêíîâèòåëüíàÿ èîíèçà-öèÿ, âíåøíåå ýëåêòðè÷åñêîå ïîëå

Dynamics of Radiative Transitions Between Stark Sublevels for Non-Hydrogenic Atoms and Diatomics in Dc Electric Field

“…Though in the last years it has been developed a set of effective non-perturbative approaches to the dc strong -field Stark effect in atomic systems (look, for example, [11][12][13][14][15][16]), for our purposes the most appropriate theoretical approach for constructing the wave functions in the Stark problem is given by the operator formalism [12,20]. It is important to note that the quantum defect version of this formalism is appropriate for treating alkali atoms and correspondingly the collisional processes with similar atoms [21]. These systems are often represented and a core and a single electron above the N-electron core.…”

“…As in further we will consider first of all alkali atomic systems, one could guess suitability of using the quantum defect scheme [13,20] of the operator approach [12]. Despite the hydrogen atom, within the latter it is introduced the quantum defect [21]. Its value μ l , is connected with the electron energy E and principal quantum number n as μ l =n-z * (-2E) -1/2 and expressed through the quantum defect value of the free (ε=0) atom in the parabolic co-ordinates by standard way [21].…”

“…Despite the hydrogen atom, within the latter it is introduced the quantum defect [21]. Its value μ l , is connected with the electron energy E and principal quantum number n as μ l =n-z * (-2E) -1/2 and expressed through the quantum defect value of the free (ε=0) atom in the parabolic co-ordinates by standard way [21]. As usually, we use the standard classification for the electron states in a field, namely, there are used the quantum numbers: n, n 1 , n 2 ,m (principal, parabolic, azimuthal ones).…”

Penning and Stochastic Collisional Ionization of Atoms in an External Magnetic Field: Model Potential Scheme

“…The most widespread theoretical schemes for description of the cited processes (look, for example, [1][2][3][4][5][17][18][19][20][21][22]) are based on the computing the capture cross-section of collisional particles 1. Above a great number of different elementary atomic and molecular processes to be studied in collisions physics, physics and chemistry of plasma, gases and other mediums one should note such complicated phenomena as an ionization of excited atoms by means of the photon and electron impact, atom-atom or ion-atom collisions, inclufing these processes at presence of the external field.…”

“…The most widespread theoretical schemes for description of the cited processes (look, for example, [1][2][3][4][5][17][18][19][20][21][22]) are based on the computing the capture crosssection of collisional particles by field of the wan der Waals interaction potential. Above other consistent methods one should mention a few versions of the rectilinear classical trajectories model too [1][2][3]20].…”