Application of a generalised function method to the infinitely deep square well problem
Author(s) -
B. Ünal
Publication year - 2017
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1601-114
Subject(s) - eigenfunction , mathematics , eigenvalues and eigenvectors , square (algebra) , mathematical analysis , function (biology) , class (philosophy) , zero (linguistics) , finite potential well , pure mathematics , geometry , quantum mechanics , physics , evolutionary biology , biology , linguistics , philosophy , artificial intelligence , computer science
The Schrödinger equation for the eigenvalues of the infinitely deep square well potential is solved within the class of generalised functions. It is found that the ground state consists of a step function like eigenfunction with the eigenvalue zero.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom