A Proposal for the Solution of Quantum Field Theory Problems Using a Finite-Element Approximation

Carl M. Bender
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Carl M. Bender: Washington University, Department of Physics

Chapter 18 in Applications of Computer Algebra, 1985, pp 392-406 from Springer

Abstract: Abstract We show that the method of finite elements reduces intractable quantum operator differential equations to completely solvable operator difference equations. Early work suggests that this approximation technique is extremely accurate and very well suited to algebraic manipulation on a computer.

Keywords: Dirac Equation; dIscrete Action; Heisenberg Equation; Equal Time Commutation Relation; Fermion Doubling (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-1-4684-6888-5_18

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