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We discuss path integrals for quantum mechanics with a potential which is a perturbation of the upside-down oscillator. We express the path integral (in the real time) by the Wiener measure. We obtain the Feynman integral for perturbations…

High Energy Physics - Theory · Physics 2023-05-23 Z. Haba

Quantum mechanical transition amplitudes directly tells the probability of each transition and which one is more favourable. Path-integrals offers a systematic methodology to compute this quantum mechanical process in a consistent manner.…

General Relativity and Quantum Cosmology · Physics 2019-12-17 Gaurav Narain , Hai-Qing Zhang

Compared to classical optical coherence theory based on Maxwell's electromagnetic theory and Glauber's quantum optical coherence theory based on matrix mechanics formulation of quantum mechanics, quantum optical coherence theory based on…

Quantum Physics · Physics 2024-09-18 Jianbin Liu , Yu Zhou , Hui Chen , Huaibin Zheng , Yuchen He , Fuli Li , Zhuo Xu

Recently, several eclipsing millisecond pulsars have been shown to experience strong and apparent weak lensing from the outflow of their ionized companions. Lensing can be a powerful probe of the ionized plasma, with the strongest lenses…

High Energy Astrophysical Phenomena · Physics 2022-12-07 Fang Xi Lin , Robert Main , Dylan Jow , Dongzi Li , Ue-Li Pen , Marten H. van Kerkwijk

Most research on astrophysical lensing has been conducted using the geometric optics framework, where there exists a clear concept of lensing images. However, wave optics effects can be important for coherent sources, e.g. pulsars, fast…

Instrumentation and Methods for Astrophysics · Physics 2024-10-29 Xun Shi

The second-order temporal interference between two independent single-mode continuous-wave lasers is discussed by employing two-photon interference in Feynman's path integral theory. It is concluded that whether the second-order temporal…

Optics · Physics 2016-03-18 Jianbin Liu , Dong Wei , Hui Chen , Yu Zhou , Huaibin Zheng , Hong Gao , Fu-li Li , Zhuo Xu

There has recently been some interest in the prospect of detecting ionized intergalactic baryons by examining the properties of incoherent light from background cosmological sources, namely quasars. Although the paper by \cite{lieu13}…

Instrumentation and Methods for Astrophysics · Physics 2018-02-14 Richard Lieu , Lingze Duan

A new method to track the motion of a single particle in the field of a high-finesse optical resonator is described. It exploits near-degenerate higher-order Gaussian cavity modes, whose symmetry is broken by the phase shift on the light…

Quantum Physics · Physics 2009-11-07 P. Horak , H. Ritsch , T. Fischer , P. Maunz , T. Puppe , P. W. H. Pinkse , G. Rempe

We use the homological perturbation lemma to produce explicit formulas computing the class in the twisted de Rham complex represented by an arbitrary polynomial. This is a non-asymptotic version of the method of Feynman diagrams. In…

Mathematical Physics · Physics 2019-11-05 Theo Johnson-Freyd

With the current revival of interest in astronomical intensity interferometry, it is interesting to revisit the associated theory, which was developed in the 1950s and 1960s. This paper argues that intensity interferometry can be understood…

Instrumentation and Methods for Astrophysics · Physics 2020-09-17 Prasenjit Saha

The depolarized light scattering spectra of the glass forming liquid ortho-terphenyl have been calculated in the low frequency region using molecular dynamics simulation. Realistic system's configurations are produced by using a recent…

Soft Condensed Matter · Physics 2009-11-07 S. Mossa , G. Ruocco , M. Sampoli

Interacting particle methods are increasingly used to sample from complex and high-dimensional distributions. These stochastic particle integration techniques can be interpreted as an universal acceptance-rejection sequential particle…

Computational Finance · Quantitative Finance 2012-10-30 P. Del Moral , G. W. Peters , Ch. Vergé

We consider the geometrical optics for refraction of a distant radio source by an interstellar plasma lens, with application to a lens with a Gaussian electron column density profile. The refractive properties of the lens are specified…

Astrophysics · Physics 2009-10-30 Andrew W. Clegg , Alan L. Fey , T. Joseph W. Lazio

We argue that the Lorentzian path integral is a better starting point for quantum cosmology than the Euclidean version. In particular, we revisit the mini-superspace calculation of the Feynman path integral for quantum gravity with a…

High Energy Physics - Theory · Physics 2017-05-24 Job Feldbrugge , Jean-Luc Lehners , Neil Turok

We present experimental observations of interference between an atomic spin coherence and an optical field in a {\Lambda}-type gradient echo memory. The interference is mediated by a strong classical field that couples a weak probe field to…

Quantum Physics · Physics 2013-05-29 G. T. Campbell , M. Hosseini , B. M. Sparkes , P. K. Lam , B. C. Buchler

Gravitational waves propagating across gravitational potentials undergo lensing effects that, in the wave-optics regime, manifest as frequency-dependent amplitude and phase modulations. In this work, we revisit the diffraction integral…

High Energy Physics - Theory · Physics 2026-01-09 Mariana Carrillo Gonzalez , Valerio De Luca , Alice Garoffolo , Julio Parra-Martinez , Mark Trodden

The Feynman path integral for the generalized harmonic oscillator is reviewed, and it is shown that the path integral can be used to find a complete set of wave functions for the oscillator. Harmonic oscillators with different…

Quantum Physics · Physics 2007-05-23 Dae-Yup Song

In this paper we present a stepwise construction of the path integral over relativistic orbits in Euclidean spacetime. It is shown that the apparent problems of this path integral, like the breakdown of the naive Chapman-Kolmogorov…

High Energy Physics - Theory · Physics 2022-11-01 Benjamin Koch , Enrique Muñoz

By confusing the radiance of a single mode light beam, constant in a transparent medium, with the irradiance which decreases away from the source, Menzel purports to show that coherent interactions of light with the diluted media of…

General Physics · Physics 2010-02-09 Jacques Moret-Bailly

Surface plasma waves are collective oscillations of electrons that propagate along a metal-dielectric interface. In the last ten years, several groups have reproduced fundamental quantum optics experiments with surface plasmons. Observation…

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