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On Using the Quantum Mechanical Path Integral in Quantum Field Theory
Annals of Physics, 1993It is shown how matrix elements of the form \(\langle x| e^{- iHt}| y\rangle\), which arise in closed-form expressions for the generating functional, can be evaluated perturbatively using a path integral encountered in the quantum mechanics of a single particle.
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Quantum mechanics (QM): Path integrals in phase space
2021Abstract In Chapter 2, a path integral representation of the quantum operator e-β H in the case of Hamiltonians H of the separable form p2/2m + V(q) has been constructed. Here, the construction is extended to Hamiltonians that are more general functions of phase space variables.
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Path integrals in quantum and in statistical mechanics
1992Abstract This chapter links Parts I and II, which were devoted to statistical mechanics, and Part III, which deals with quantum field theory. In Part III we shall revert to the tools developed for studying critical phenomena, namely functional integrals (often called path integrals in this new connection); Feynman diagrams ...
Michel Le Bellac, G Barton
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Path integrals for boundaries in diffusion and quantum mechanics
2023Tesis (Master in Physics)--Pontificia Universidad Católica de Chile, 2020 ; Diffusion and quantum mechanics with boundary conditions arise naturally in various situations in physics. While reflecting and absorbing boundaries are well mathematically described, intermediate scenarios are not that clear. Consider a reflective boundary which is removed for
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The physics behind path integrals in quantum mechanics
American Journal of Physics, 1983We present a simple pedagogical discussion of the physics of path integrals in nonrelativistic quantum mechanics. Rather than show that the path integral gives the standard results of quantum mechanics, as is usually done in the literature, we instead discuss why it does so.
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Path Integrals in Quantum and Statistical Mechanics
2013The path integral formulation of quantum mechanics is an alternative to Schrodinger’s wave mechanics or Heisenberg’s matrix mechanics. The path integral method allows for a uniform treatment of quantum mechanics, statistical mechanics and quantum field theory and can be regarded as a basic tool in modern theoretical physics.
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Path integrals in non-relativistic quantum mechanics
2020This thesis starts with a brief review of local and global approaches to classicalmechanics. Path integral formalism, which constitutes a global approach to quantummechanics, is introduced. A brief history of non-relativistic applications is given.The Lagrangian and the Hamiltonian forms of the path integral are derived.
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Interplay between mechanics and signalling in regulating cell fate
Nature Reviews Molecular Cell Biology, 2022Ewa K Paluch, Kevin J Chalut
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Quantum guidelines for solid-state spin defects
Nature Reviews Materials, 2021Gary Wolfowicz +2 more
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