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Generalized sequential Feynman integral and Fourier–Feynman transform
Rocky Mountain Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoo, Il, Kim, Byoung Soo
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The American Mathematical Monthly, 1975
(1975). The Feynman Integral. The American Mathematical Monthly: Vol. 82, No. 5, pp. 451-465.
J. B. Keller, D. W. McLaughlin
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(1975). The Feynman Integral. The American Mathematical Monthly: Vol. 82, No. 5, pp. 451-465.
J. B. Keller, D. W. McLaughlin
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Feynman Integrals and Feynman Periods
2016In the chord diagram expansion and the Kruger-Kreimer log expansion we saw that the primitive Feynman diagrams were the analytic input. In both cases, with these primitives taken as black boxes, there was a nice combinatorial understanding of how to put things together. Now it is time to look at these black boxes.
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Feynman’s Scientific Integrity
2020Scientific integrity has periodically been in the news for the last two decades. The issue resurfaced with vehemence due to the controversy over hacked e-mail messages from groups of climate scientists in 2009.
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1999
The Feynman integral [126] gives an intuitive picture of quantum mechanics as a classical mechanics with some quantum corrections describing interference of various classically inadmissible amplitudes. In addition to its intuitive appeal the Feynman integral can be considered as a useful calculational tool.
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The Feynman integral [126] gives an intuitive picture of quantum mechanics as a classical mechanics with some quantum corrections describing interference of various classically inadmissible amplitudes. In addition to its intuitive appeal the Feynman integral can be considered as a useful calculational tool.
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1975
What follows is a continuation of the general theory developed in Chapter IV. This prolongation was more or less inspired by the excellent Paris These of Felix Pham. Briefly speaking it deals with the subgraphs, open or closed, of the basic graph G. The geometric methods of Chapter IV continue to prevail.
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What follows is a continuation of the general theory developed in Chapter IV. This prolongation was more or less inspired by the excellent Paris These of Felix Pham. Briefly speaking it deals with the subgraphs, open or closed, of the basic graph G. The geometric methods of Chapter IV continue to prevail.
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1984
In these lectures I shall present a path integral calculation, starting from a global definition of Feynman path integrals and ending at a scattering cross section formula. Along the way I shall discuss some basic issues which had to be resolved to exploit the computational power of the proposed definition of Feynman integrals.
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In these lectures I shall present a path integral calculation, starting from a global definition of Feynman path integrals and ending at a scattering cross section formula. Along the way I shall discuss some basic issues which had to be resolved to exploit the computational power of the proposed definition of Feynman integrals.
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1985
The present chapter is devoted to a rigorous treatment of the ’sums over paths’ proposed by Feynman as an alternative calculus for quantum mechanics. We begin with a formulation of the problem and a brief survey of some approaches to it. In Section 2 we study a theory in which the path integrals under consideration are defined by a Parseval-type ...
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The present chapter is devoted to a rigorous treatment of the ’sums over paths’ proposed by Feynman as an alternative calculus for quantum mechanics. We begin with a formulation of the problem and a brief survey of some approaches to it. In Section 2 we study a theory in which the path integrals under consideration are defined by a Parseval-type ...
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2010
The aim of this chapter is to introduce the concept of the Feynman path integral. As well as developing the general construction scheme, particular emphasis is placed on establishing the interconnections between the quantum mechanical path integral, classical Hamiltonian mechanics, and classical statistical mechanics.
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The aim of this chapter is to introduce the concept of the Feynman path integral. As well as developing the general construction scheme, particular emphasis is placed on establishing the interconnections between the quantum mechanical path integral, classical Hamiltonian mechanics, and classical statistical mechanics.
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