LEADER 04518nam 2200673Ia 450 001 9910782271003321 005 20230721032715.0 010 $a1-281-86768-3 010 $a9786611867683 010 $a1-86094-925-8 035 $a(CKB)1000000000538186 035 $a(EBL)1681473 035 $a(OCoLC)815742128 035 $a(SSID)ssj0000250647 035 $a(PQKBManifestationID)11176346 035 $a(PQKBTitleCode)TC0000250647 035 $a(PQKBWorkID)10244860 035 $a(PQKB)11596676 035 $a(MiAaPQ)EBC1681473 035 $a(WSP)00001806 035 $a(Au-PeEL)EBL1681473 035 $a(CaPaEBR)ebr10255965 035 $a(CaONFJC)MIL186768 035 $a(EXLCZ)991000000000538186 100 $a20071223d2008 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStark effect in a hydrogenic atom or ion$b[electronic resource] $etreated by the phase-integral method /$fNanny Fro?man, Per Olof Fro?man ; with adjoined papers by A. Ho?kback and P.O. Fro?man 210 $aLondon $cImperial College Press ;$aHackensack, NJ $cDistributed by World Scientific Publishing$dc2008 215 $a1 online resource (164 p.) 300 $aDescription based upon print version of record. 311 $a1-86094-924-X 320 $aIncludes bibliographical references (p. 145-148) and indexes. 327 $aContents; Preface; 1 Introduction; Brief review of different aspects studied and various methods used; Brief account of the background of this book; Publications with relevance to this book; Treatment in this book; Brief account of the contents of this book; 2 Schro?dinger Equation, its Separation and its Exact Eigenfunctions; 2.1 Separation of the time-independent Schro?dinger equation for the internal motion; 2.2 Properties of the eigenfunctions of the time-independent Schro?dinger equation for the internal motion; 3 Development in Time of the Probability Amplitude for a Decaying State 327 $a4 Phase-Integral Method 4.1 Phase-integral approximation generated from an unspecified base function; 4.2 Connection formulas associated with a single transition point; 4.2.1 Connection formulas pertaining to a first-order transition zero on the real axis; 4.2.2 Connection formula pertaining to a first-order transition pole at the origin; 4.3 Connection formula for a real, smooth, single-hump potential barrier; 4.3.1 Wave function given as a standing wave; 4.3.2 Supplementary quantity ?; 4.4 Quantization conditions for single-well potentials 327 $a5 Derivation of Phase-Integral Formulas for Profiles, Energies and Half-Widths of Stark Levels5.1 Positions of the Stark levels; 5.2 Formulas for the calculation of dL/dE, dK2n/dE and dK/dE; 5.3 Half-widths of the Stark levels; 6 Procedure for Transformation of the Phase-Integral Formulas into Formulas Involving Complete Elliptic Integrals; Adjoined Papers by Anders Ho?kback and Per Olof Fro?man; 7 Phase-Inegral Quantities and Their Partial Derivatives with Respect to E and Z1 Expressed in Terms of Complete Elliptic Integrals; 7.1 The ?-equation; 7.2 The ?-equation in the sub-barrier case 327 $a7.3 The ?-equation in the super-barrier case8 Numerical Results; References; Name Index; Subject Index 330 $aThis book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field. It begins with a thorough review of previous work in this field since 1926. After the Schro?dinger equation has been separated with respect to time dependence, centre of mass motion and internal motion, followed by a discussion of its eigenfunctions, the exact development in time of the probability amplitude for a decaying state is obtained by means of a formula analogous to the Fock-Krylov theorem. From this formula one obtains by means of the phase-integral approximation generated from a particular 606 $aStark effect 606 $aOptical spectroscopy 606 $aQuantum theory 606 $aSchro?dinger equation 615 0$aStark effect. 615 0$aOptical spectroscopy. 615 0$aQuantum theory. 615 0$aSchro?dinger equation. 676 $a530.12 700 $aFro?man$b Nanny$012693 701 $aFro?man$b Per Olof$012694 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782271003321 996 $aStark effect in a hydrogenic atom or ion$9719729 997 $aUNINA