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International Journal of Modern Physics B, 2004
Feynman started the theory of quantum computation by observing that quantum mechanical amplitudes cannot be simulated efficiently on a computer, since path integrals are computationally hard. Path integrals are heuristic tools for Schrödinger's hamiltonians, at least for real time dynamics. On the contrary they have a rigorous mathematical meaning for
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Feynman started the theory of quantum computation by observing that quantum mechanical amplitudes cannot be simulated efficiently on a computer, since path integrals are computationally hard. Path integrals are heuristic tools for Schrödinger's hamiltonians, at least for real time dynamics. On the contrary they have a rigorous mathematical meaning for
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Path Integrals for Pedestrians
2014In this book a brief presentation of the path-integral for quantum mechanics is given followed by a complete presentation of the path-integral for classical mechanics.
GOZZI, ENNIO +2 more
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2010
The path integral formulas for the evolution operator in quantum mechanics. The path integral formula for the generating functional Z[j] in the quantum theory of the real scalar field. Rederivation of the perturbative expansion for the \(\phi ^4_4\) model. Integration over Grassmann variables.
Henryk Arodź, Leszek Hadasz
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The path integral formulas for the evolution operator in quantum mechanics. The path integral formula for the generating functional Z[j] in the quantum theory of the real scalar field. Rederivation of the perturbative expansion for the \(\phi ^4_4\) model. Integration over Grassmann variables.
Henryk Arodź, Leszek Hadasz
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Hippocampus, 2004
AbstractIt is often assumed that navigation implies the use, by animals, of landmarks indicating the location of the goal. However, many animals (including humans) are able to return to the starting point of a journey, or to other goal sites, by relying on self‐motion cues only.
Etienne, Ariane S., Jeffery, Kathryn J.
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AbstractIt is often assumed that navigation implies the use, by animals, of landmarks indicating the location of the goal. However, many animals (including humans) are able to return to the starting point of a journey, or to other goal sites, by relying on self‐motion cues only.
Etienne, Ariane S., Jeffery, Kathryn J.
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1989
The matrix elements between wavelets of the quantum propagator for a large class of Hamiltonians on the half-line are given in terms of path integral. It is a sum over path defined on the upper half plane with a Wiener measure associated to the hyperbolic Laplacian in the limit where the diffusion constant diverges.
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The matrix elements between wavelets of the quantum propagator for a large class of Hamiltonians on the half-line are given in terms of path integral. It is a sum over path defined on the upper half plane with a Wiener measure associated to the hyperbolic Laplacian in the limit where the diffusion constant diverges.
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1982
The paper presents experimental evidence for homing by path integration in a bird. Using a mammalian model case, the essentials of a cybernetical theory of this type of navigation are developed. As a consequence of its application to the extant data on geese, the necessary information about the translatory component of the animal’s movement along its ...
Mittelstaedt, H., Mittelstaedt, M.
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The paper presents experimental evidence for homing by path integration in a bird. Using a mammalian model case, the essentials of a cybernetical theory of this type of navigation are developed. As a consequence of its application to the extant data on geese, the necessary information about the translatory component of the animal’s movement along its ...
Mittelstaedt, H., Mittelstaedt, M.
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Foundations of Physics, 2020
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Path integration — a network model
Biological Cybernetics, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas Wittmann, Helmut Schwegler
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2009
Abstract An elegant alternative formalism of quantum mechanics was given by R. P. Feynman in 1948. The importance of this formalism, known as the path integral, functional integral, etc. approach, first of all lies in its vivid, intuitive description of quantum fluctuations.
Kenichi Konishi, Giampiero Paffuti
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Abstract An elegant alternative formalism of quantum mechanics was given by R. P. Feynman in 1948. The importance of this formalism, known as the path integral, functional integral, etc. approach, first of all lies in its vivid, intuitive description of quantum fluctuations.
Kenichi Konishi, Giampiero Paffuti
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Olfactory landmarks and path integration converge to form a cognitive spatial map
Neuron, 2021Mark Schnitzer +2 more
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