The method of finite differences for some operator field equations

✍ Scribed by Miguel Lorente

• Book ID: 104769645
• Publisher: Springer
• Year: 1987
• Tongue: English
• Weight: 258 KB
• Volume: 13
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00423450

✦ Synopsis

We propose a new approach to the formulation of some operator field equations. In Section 1 we study the consistency of some particular difference equations and the convergence of the exact solutions. In Section 2 we apply these results to the quantum mechanical system in one dimension and obtain explicit and general expressions for the transfer operator and for the corresponding matrix elements.