Feynman’s path-integral polaron treatment approached using time-ordered operator calculus
نویسندگان
چکیده
منابع مشابه
Feynman path-integral treatment of the BEC-impurity polaron
J. Tempere,1,2 W. Casteels,1 M. K. Oberthaler,3 S. Knoop,3 E. Timmermans,4 and J. T. Devreese1 1TFVS, Universiteit Antwerpen, Groenenborgerlaan 171, B2020 Antwerpen, Belgium 2Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 3Kirchhoff-Institut für Physik, Universität Heidelberg, Im Neuenheimer Feld 227, D-69120 Heidelberg, Germany 4Theoretical Division (T-4),...
متن کاملNew enhancements to Feynmans Path Integral for fermions
We show that the computational effort for the numerical solution of fermionic quantum systems, occurring e.g., in quantum chemistry, solid state physics, field theory in principle grows with less than the square of the particle number for problems stated in one space dimension and with less than the cube of the particle number for problems stated in three space dimensions. This is proven by rep...
متن کاملPath Integral Methods in the Su-Schrieffer-Heeger Polaron Problem
I propose a path integral description of the Su-Schrieffer-Heeger Hamiltonian, both in one and two dimensions, after mapping the real space model onto the time scale. While the lattice degrees of freedom are classical functions of time and are integrated out exactly, the electron particle paths are treated quantum mechanically. The method accounts for the variable range of the electronic hoppin...
متن کاملOn the Best Quadratic Approximation in Feynman’s Path Integral Treatment of the Polaron
The best quadratic approximation to the retarded polaron action due to Adamowski et al. and Saitoh is investigated numerically for a wide range of coupling constants. The non-linear variational equations are solved iteratively with an efficient method in order to obtain the ground state energy and the effective mass of the polaron. The virial theorem and expansions for small and large couplings...
متن کاملDecomposition of Time-Ordered Products and Path-Ordered Exponentials
We present a decomposition formula for Un, an integral of time-ordered products of operators, in terms of sums of products of the more primitive quantities Cm, which are the integrals of time-ordered commutators of the same operators. The resulting factorization enables a summation over n to be carried out to yield an explicit expression for the time-ordered exponential, an expression which tur...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Solid State Communications
سال: 2011
ISSN: 0038-1098
DOI: 10.1016/j.ssc.2010.11.003