scholarly journals Towards a Method for the Accurate Solution of the Schrödinger Wave Equation in Many Variables. I. Formulation of the Method for an Eigenvalue Problem without Symmetry Conditions

1959 ◽  
Vol 12 (4) ◽  
pp. 430
Author(s):  
IM Bassett
Keyword(s):  
Wave Equation ◽  
Eigenvalue Problem ◽  
Digital Computer ◽  
Accurate Solution ◽  
New Method ◽  
Electronic Digital Computer

The aim of this paper and those following is to formulate and explore a new method, suitable for use with an electronic digital computer, for the solution of eigenvalue. eigenfunction problems in many variables, with the aim of applying the method to the Schrodinger wave equation.

scholarly journals Towards a Method for the Accurate Solution of the Schrödinger Wave Equation in Many Variables. II. A Simple Numerical Illustration

1959 ◽  
Vol 12 (4) ◽  
pp. 441 ◽  
Author(s):  
IM Bassett
Keyword(s):  
Wave Equation ◽  
Eigenvalue Problem ◽  
Accurate Solution ◽  
Numerical Illustration

The method described in Part I is here applied to an eigenvalue problem in two Variables

A COMPREHENSIVE SYSTEM OF TERRAIN CORRECTIONS USING A DIGITAL COMPUTER

Geophysics ◽  
1962 ◽  
Vol 27 (4) ◽  
pp. 455-462 ◽  
Author(s):  
M. F. Kane
Keyword(s):  
Conventional Method ◽  
Digital Computer ◽  
New Method ◽  
Comprehensive System ◽  
Present System ◽  
Electronic Digital Computer ◽  
Terrain Effects ◽  
Desk Calculator ◽  
Terrain Corrections

The system of terrain corrections uses an electronic digital computer for much of the calculation. A new method using a desk calculator is suggested for terrain effects arising from close‐in topography. The present system covers a square area 40 km by 40 km, with the station at the center. A selected group of corrections that were compared with conventionally computed ones agree within 0.1 mgal. The speed of the operation using the Datatron 220 computer is considerably faster than the conventional method of computing.

NEW METHOD FOR SCHRÖDINGER EIGENVALUE PROBLEM — The Case of the Potential V(x) = 2μx2 + λx4

2012 ◽  
Vol 17 ◽  
pp. 149-158
Author(s):  
TORU NAKAMURA ◽  
HIROSHI EZAWA ◽  
KEIJI WATANABE ◽  
TOSHIHARU IRISAWA
Keyword(s):  
Eigenvalue Problem ◽  
Iteration Procedure ◽  
Divergent Series ◽  
New Method ◽  
Wkb Method ◽  
Quartic Potential

A new method is proposed to solve the Schrödinger eigenvalue problem. Remarkably the iteration procedure is found to be convergent in the case of the quartic potential for which the perturbation and the WKB method are known to give divergent series.

Ordinary Life Office Organization Using a Large-Scale Electronic Computer

1955 ◽  
Vol 81 (3) ◽  
pp. 203-260 ◽  
Author(s):  
A. C. Baker
Keyword(s):  
Digital Computer ◽  
Large Scale ◽  
Electronic Computer ◽  
Electronic Digital Computer ◽  
Ordinary Life ◽  
Life Assurance ◽  
Close Cooperation ◽  
Points Of View ◽  
Computing Machines ◽  
Large Manufacturer

In a paper on Large-scale Electronic Digital Computing Machines read before the Institute in 1953 (J.I.A. 79, 274) R. L. Michaelson drew the attention of actuaries to the possibilities which existed in a life office for the use of a large-scale electronic digital computer (referred to hereafter as a ‘computer’). Both the paper itself and the discussion which followed emphasized the need for a detailed investigation of the problems involved from the points of view of the life office and the manufacturer.2. The author of this paper has been privileged to undertake, in close cooperation with a large manufacturer of computers in this country, a detailed investigation of possible life-office organization based on a computer. This paper sets down some of the results of this investigation with particular reference to life offices transacting ordinary as distinct from industrial life assurance.

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