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Path Integrals in Relativistic Quantum Mechanics

1994
This paper is a review of path integral representations for semigroups {exp(-t H_r/ħ)}{t≥0} where H_r's are relativistic quantum Hamiltonians. We consider three different cases: in the first one Hr is a relativistic Schrödinger operator, in the second is the Hamiltonian associated to Klein-Gordon equation and in the third is that coming from the Dirac
De Angelis G. F, SERVA, Maurizio
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Path Integrals and Quantum Mechanics

open access: yesWorld Scientific Lecture Notes in Physics, 1993
exaly   +3 more sources

Path Integrals in Quantum Mechanics [PDF]

open access: yesWorld Scientific Lecture Notes in Physics, 1990
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Quantum mechanics and path integrals

2015
Abstract This chapter discusses the Feymann path-integral approach to quantum mechanics. First, it derives a path integral expression for the evolution operator. Next, it shows that the classical equations of motion, that is, those obtained from the principle of least action, are obtained from this path integral formulation in the limit ...
Efstratios Manousakis
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Fractional quantum mechanics and Lévy path integrals [PDF]

open access: yesPhysics Letters, Section A: General, Atomic and Solid State Physics, 2000
8 pages, added references for section ...
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Path integrals in quantum mechanics

2011
Path integrals provide in many instances an elegant complementary description of quantum mechanics and also for the quantization of fields, which we will study from a canonical point of view in Chapter ?? and following chapters. Path integrals are particularly popular in scattering theory, because the techniques of path integration were originally ...
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Quantum Mechanics of H‐Atom from Path Integrals

open access: yesFortschritte Der Physik, 1982
AbstractThe quantum mechanical Coulomb problem in two and three dimensions is solved completely in terms of path integrals. We derive the integral representations for the Green's functions in configuration space and recover the wave functions from factorized residues.
Duru, İsmail Hakkı, Kleinert, Hagen M.
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