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Stark effect in a hydrogenic atom or ion [[electronic resource] ] : treated by the phase-integral method / / Nanny Fröman, Per Olof Fröman ; with adjoined papers by A. Hökback and P.O. Fröman
| Stark effect in a hydrogenic atom or ion [[electronic resource] ] : treated by the phase-integral method / / Nanny Fröman, Per Olof Fröman ; with adjoined papers by A. Hökback and P.O. Fröman |
| Autore | Fröman Nanny |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (164 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | FrömanPer Olof |
| Soggetto topico |
Stark effect
Optical spectroscopy Quantum theory Schrödinger equation |
| ISBN |
1-281-86768-3
9786611867683 1-86094-925-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 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 Schrödinger Equation, its Separation and its Exact Eigenfunctions; 2.1 Separation of the time-independent Schrödinger equation for the internal motion; 2.2 Properties of the eigenfunctions of the time-independent Schrödinger equation for the internal motion; 3 Development in Time of the Probability Amplitude for a Decaying State
4 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 φ; 4.4 Quantization conditions for single-well potentials 5 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 Hökback and Per Olof Fröman; 7 Phase-Inegral Quantities and Their Partial Derivatives with Respect to E and Z1 Expressed in Terms of Complete Elliptic Integrals; 7.1 The ξ-equation; 7.2 The η-equation in the sub-barrier case 7.3 The η-equation in the super-barrier case8 Numerical Results; References; Name Index; Subject Index |
| Record Nr. | UNINA-9910782271003321 |
Fröman Nanny
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stark effect in a hydrogenic atom or ion : treated by the phase-integral method / / Nanny Fröman, Per Olof Fröman ; with adjoined papers by A. Hökback and P.O. Fröman
| Stark effect in a hydrogenic atom or ion : treated by the phase-integral method / / Nanny Fröman, Per Olof Fröman ; with adjoined papers by A. Hökback and P.O. Fröman |
| Autore | Fröman Nanny |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (164 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | FrömanPer Olof |
| Soggetto topico |
Stark effect
Optical spectroscopy Quantum theory Schrödinger equation |
| ISBN |
1-281-86768-3
9786611867683 1-86094-925-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 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 Schrödinger Equation, its Separation and its Exact Eigenfunctions; 2.1 Separation of the time-independent Schrödinger equation for the internal motion; 2.2 Properties of the eigenfunctions of the time-independent Schrödinger equation for the internal motion; 3 Development in Time of the Probability Amplitude for a Decaying State
4 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 φ; 4.4 Quantization conditions for single-well potentials 5 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 Hökback and Per Olof Fröman; 7 Phase-Inegral Quantities and Their Partial Derivatives with Respect to E and Z1 Expressed in Terms of Complete Elliptic Integrals; 7.1 The ξ-equation; 7.2 The η-equation in the sub-barrier case 7.3 The η-equation in the super-barrier case8 Numerical Results; References; Name Index; Subject Index |
| Record Nr. | UNINA-9910822078503321 |
|
Fröman Nanny
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A statistical method for determining the lowest eigenvalue of Schrodinger's equation / / Mark Kac, Michael Cohen
| A statistical method for determining the lowest eigenvalue of Schrodinger's equation / / Mark Kac, Michael Cohen |
| Autore | Kac Mark |
| Pubbl/distr/stampa | Gaithersburg, MD : , : U.S. Dept. of Commerce, National Institute of Standards and Technology, , 1952 |
| Descrizione fisica | 1 online resource |
| Altri autori (Persone) |
CohenMichael
KacMark |
| Collana | NBS report |
| Soggetto topico |
Schrödinger equation
Schrodinger equation |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910711111303321 |
|
Kac Mark
|
||
| Gaithersburg, MD : , : U.S. Dept. of Commerce, National Institute of Standards and Technology, , 1952 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
