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The Feynman path integral plays a crucial role in quantum mechanics, offering significant insights into the interaction between classical action and propagators, and linking quantum electrodynamics (QED) with Feynman diagrams. However, the…

General Physics · Physics 2026-05-19 W. Wen

Using fourth-order perturbation theory, a general formula for the van der Waals potential of two neutral, unpolarized, ground-state atoms in the presence of an arbitrary arrangement of dispersing and absorbing magnetodielectric bodies is…

Quantum Physics · Physics 2007-05-23 Hassan Safari , Stefan Yoshi Buhmann , Dirk-Gunnar Welsch , Ho Trung Dung

The Casimir-Polder interaction between an atom and a metal wall is investigated under the influence of real conditions including the dynamic polarizability of the atom, finite conductivity of the wall metal and nonzero temperature of the…

Quantum Physics · Physics 2007-05-23 J. F. Babb , G. L. Klimchitskaya , V. M. Mostepanenko

We consider a particle trapped by a generic external potential and under the influence of a quantum-thermal Ohmic bath. Starting from the Langevin equation, we derive the corresponding Schwinger-Keldysh action. Then, within the…

Statistical Mechanics · Physics 2023-09-21 Koichiro Furutani , Luca Salasnich

Using a recent path integral representation for the T-matrix in nonrelativistic potential scattering we investigate new variational approximations in this framework. By means of the Feynman-Jensen variational principle and the most general…

Nuclear Theory · Physics 2010-08-25 J. Carron , R. Rosenfelder

We derive analytical solutions for the system of two ultracold spin-polarized fermions interacting in p wave and confined in an axially symmetric harmonic trap. To this end we utilize p-wave pseudopotential with an energy-dependent…

Atomic Physics · Physics 2013-05-29 Zbigniew Idziaszek

Vapor-liquid menisci of the truncated and shifted Lennard-Jones fluid between parallel planar walls are investigated by molecular dynamics simulation. Thereby, the characteristic energy of the unlike dispersive interaction between fluid…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Martin Horsch , Martina Heitzig , Calin Dan , Jens Harting , Hans Hasse , Jadran Vrabec

We use a general theory of the fluctuating electromagnetic field to calculate the friction force acting on a small neutral particle, e.g., a physisorbed molecule, or a nanoscale object with arbitrary dispersive and absorptive dielectric…

Materials Science · Physics 2009-11-11 A. I. Volokitin , B. N. J. Persson

The mathematical similarities between non-relativistic wavefunction propagation in quantum mechanics and image propagation in scalar diffraction theory are used to develop a novel understanding of time and paths through spacetime as a…

Quantum Physics · Physics 2021-03-08 Sky Nelson-Isaacs

We use the density matrix formalism in order to calculate the energy level shifts, in second order on interaction, of an atom in the presence of a perfectly conducting wall in the dipole approximation. The thermal corrections are also…

Quantum Physics · Physics 2009-11-13 T. N. C. Mendes , C. Farina

The fluctuations of dynamical functionals such as the empirical density and current as well as heat, work and generalized currents in stochastic thermodynamics are usually studied within the Feynman-Kac tilting formalism, which in the…

Statistical Mechanics · Physics 2023-04-06 Cai Dieball , Aljaž Godec

Diagrammatic techniques are well-known in the calculation of dispersion interactions between atoms or molecules. The multipolar coupling scheme combined with Feynman ordered diagrams significantly reduces the number of graphs compared to…

Quantum Physics · Physics 2012-08-07 Harald R. Haakh , Jürgen Schiefele , Carsten Henkel

We investigate the effects of the gravitational field on the quantum dynamics of non-relativistic particles. We consider N non-relativistic particles, interacting with the linearized gravitational field. Using the Feynman - Vernon influence…

General Relativity and Quantum Cosmology · Physics 2011-09-09 C. Anastopoulos

We develop an approach to investigate the non-perturbative dynamics of quantum field theories, in which specific vacuum field fluctuations are treated as the low-energy dynamical degrees of freedom, while all other vacuum field…

High Energy Physics - Lattice · Physics 2010-05-12 R. Millo , P. Faccioli , L. Scorzato

In this paper, we develop a wave function renormalization scheme for models of non-relativistic quantum particles interacting with a quantized relativistic field, in the Hamiltonian formalism of quantum field theory. We construct the…

Mathematical Physics · Physics 2026-03-10 Marco Falconi , Benjamin Hinrichs , Javier Valentín Martín

We derive Feynman-Kac formulas for Dirichlet realizations of Pauli-Fierz operators generating the dynamics of nonrelativistic quantum mechanical matter particles, which are minimally coupled to both classical and quantized radiation fields…

Mathematical Physics · Physics 2021-11-30 Oliver Matte

The usual multipolar Hamiltonian for atom-light interaction features a non-relativistic moving atom interacting with electromagnetic fields which inherently follow Lorentzian symmetry. This combination can lead to situations where atoms…

Atomic Physics · Physics 2018-10-05 Matthias Sonnleitner , Stephen M. Barnett

Matter-wave optics is often viewed as a linear analogue of photonics, where noninteracting particles are coherently split, diffracted, and recombined, and interference arises from single-particle coherence. In ultracold quantum gases,…

Quantum Gases · Physics 2025-11-18 RuGway Wu , Maximilian Prüfer , Jörg Schmiedmayer

We present a theory for rigorous quantum scattering calculations of probabilities for chemical reactions of atoms with diatomic molecules in the presence of an external electric field. The approach is based on the fully uncoupled basis set…

Atomic Physics · Physics 2012-02-06 T. V. Tscherbul , R. V. Krems

We investigate non-equilibrium phase transitions for driven atomic ensembles, interacting with a cavity mode, coupled to a Markovian dissipative bath. In the thermodynamic limit and at low-frequencies, we show that the distribution function…

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