Results 211 to 220 of about 1,300 (247)

Renormalization group for Anderson localization on high-dimensional lattices. [PDF]

open access: yesProc Natl Acad Sci U S A
Altshuler BL   +4 more
europepmc   +1 more source

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
exaly   +2 more sources

A Monte Carlo method for quantum Boltzmann statistical mechanics using Fourier representations of path integrals

open access: yesJournal of Chemical Physics, 1984
By expanding Feynman path integrals in a Fourier series a practical Monte Carlo method is developed to calculate the thermodynamic properties of interacting systems obeymg quantum Boltzmann statistical mechanics.
David L Freeman, Freeman David L
exaly   +3 more sources

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
openaire   +2 more sources

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 ...
openaire   +2 more sources

Quantum Mechanical Path Integrals

2010
The fundamental equation of quantum mechanics for a single particle is generally taken to be a Schrodinger equation of the form $$i\hbar\frac{\partial}{\partial t}\psi(x, t) =\left[-\frac{{\hbar}^{2}}{2m} \frac{{\partial}^{2}}{{\partial}{x}^{2}}+{V (x, t)}\right] \psi(x, t),$$ subject to some initial condition such as $$\lim_{t \rightarrow t^
openaire   +1 more source

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