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Related papers: Feynman checkers: through the looking-glass

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We study Feynman checkers, an elementary model of electron motion introduced by R. Feynman. In this model, a checker moves on a checkerboard, and we count the turns. Feynman checkers are also known as a one-dimensional quantum walk. We…

Mathematical Physics · Physics 2023-10-03 Fedor Kuyanov , Alexey Slizkov

We study the most elementary model of electron motion introduced by R.Feynman in 1965. It is a game, in which a checker moves on a checkerboard by simple rules, and we count the turnings. The model is also known as one-dimensional quantum…

Probability · Mathematics 2022-07-12 Ilya Bogdanov

We survey and develop the most elementary model of electron motion introduced by R$.$Feynman. In this game, a checker moves on a checkerboard by simple rules, and we count the turns. Feynman checkers are also known as a one-dimensional…

Mathematical Physics · Physics 2025-02-10 M. Skopenkov , A. Ustinov

Feynman's laws of quantum dynamics are concisely stated, discussed in comparison with other formulations of quantum mechanics and applied to selected problems in the physical optics of photons and massive particles as well as flavour…

Quantum Physics · Physics 2011-05-12 J. H. Field

Compared to classical optical coherence theory based on Maxwell's electromagnetic theory and Glauber's quantum optical coherence theory based on matrix mechanics formulation of quantum mechanics, quantum optical coherence theory based on…

Quantum Physics · Physics 2024-09-18 Jianbin Liu , Yu Zhou , Hui Chen , Huaibin Zheng , Yuchen He , Fuli Li , Zhuo Xu

The path integral formalism gives a very illustrative and intuitive understanding of quantum mechanics but due to its difficult sum over phases one usually prefers Schr\"odinger's approach. We will show that it is possible to calculate…

Quantum Physics · Physics 2007-05-23 A. Dullweber , E. R. Hilf , E. Mendel

Quantum optics is the study of the intrinsically quantum properties of light. During the second part of the 20th century experimental and theoretical progress developed together; nowadays quantum optics provides a testbed of many…

Quantum Physics · Physics 2017-07-11 Dan Browne , Sougato Bose , Florian Mintert , M. S. Kim

The five laws of relativistic quantum mechanics, according to Feynman's path integral formulation, are concisely stated and applied to experiments. Reflection diffraction grating experiments for both photons and electrons are analysed, in…

Quantum Physics · Physics 2015-06-17 J. H. Field

In learning quantum mechanics, an essential question has always been: How does one go about developing a "physical feel" for quantum phenomena? Naturally, one needs a basis or ground zero to start from, and that basis must be unlike…

Quantum Physics · Physics 2024-03-15 Masud Mansuripur

We discuss the absorber theory of radiation as put forward by Wheeler and Feynman. We show that it gives a better understanding of the photon compared to the usual quantum electrodynamics (QED) picture.

General Physics · Physics 2013-06-20 Vasant Natarajan

Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper we introduce, step by step, the quantum theory understood as a mathematical model describing quantum experiments. We start…

Quantum Physics · Physics 2015-05-13 Teiko Heinosaari , Mario Ziman

In this contribution we report about Feynman's approach to gravitation, starting from the records of his interventions at the Chapel Hill Conference of 1957. As well known, Feynman was concerned about the relation of gravitation with the…

History and Philosophy of Physics · Physics 2021-11-02 Marco Di Mauro , Salvatore Esposito , Adele Naddeo

Envisioned by Richard Feynman in the early 1980s, quantum simulation has received dramatic impetus thanks to the development of a variety of plateforms able to emulate a wide class of quantum Hamiltonians. During the past decade, most of…

Quantum Gases · Physics 2019-01-09 Laurent Sanchez-Palencia

In 1965, Feynman wrote of using a lattice containing one dimension of space and one dimension of time to derive aspects of quantum mechanics. Instead of summing the behavior of all possible paths as he did, this paper will consider the…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Edward Hanna

Fermi helped establish a new framework for understanding matter, based on quantum theory. This framework refines and improves traditional atomism in two crucial respects. First, the elementary constituents of matter belong to a very small…

History and Philosophy of Physics · Physics 2007-05-23 Frank Wilczek

The Einstein-First project approaches the teaching of Einsteinian physics through the use of physical models and analogies. This paper presents an approach to the teaching of quantum physics which begins by emphasising the particle-nature…

Physics Education · Physics 2017-10-11 Tejinder Kaur , David Blair , John Moschilla , Marjan Zadnik

Richard Feynman's method of path integrals is based on the fundamental assumption that a system starting at a point A and arriving at a point B takes all possible paths from A to B, with each path contributing its own (complex) probability…

Quantum Physics · Physics 2022-10-06 Masud Mansuripur

We introduce an original model of quantum phenomena, a model that provides a picture of a "deep structure", an "underlying pattern" of quantum dynamics. We propose that the source of a particle and all of that particle's possible detectors…

Quantum Physics · Physics 2007-05-23 Pavel Kurakin , George Malinetskii , Howard Bloom

The classical notions of continuity and mechanical causality are left in order to refor- mulate the Quantum Theory starting from two principles: I) the intrinsic randomness of quantum process at microphysical level, II) the projective…

Quantum Physics · Physics 2015-05-20 Edgardo T. Garcia Alvarez

Even the uninitiated will know that Quantum Field Theory cannot be introduced systematically in just four lectures. I try to give a reasonably connected outline of part of it, from second quantization to the path-integral technique in…

High Energy Physics - Theory · Physics 2007-05-23 R. J. Crewther
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