120600964
Path integrals and constraints: Particle in a box
Abstract Equivalence between the lagrangian path integral and the hamiltonian path integral with constraints is shown for a particle in a one-dimensional box.
122493550
Feynman path-integral approach to the Aharonov-Bohm effect
The Aharonov-Bohm effect is investigated in the Feynman path-integral formulation of quantum mechanics. We consider an idealized situation with an electron moving in a magnetic-field-free region outside a solenoid whose radius to length ratio is very small. The nonvanishing vector potential term in the Lagrangian is written as an angular-velocity-dependent potential. In order to account for a singularity due to the presence of the solenoid itself, a periodic constraint is imposed on the path integral. The propagator can then be evaluated using the polar-coordinate methods of Peak and Inomata. It is found that the propagator has the general form $K({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}\ensuremath{'}},{\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}};\ensuremath{\tau})=\ensuremath{\Sigma}{n}^{}{\ensuremath{\chi}}_{n}{K}_{n}({\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}\ensuremath{'}},{\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}}^{\ensuremath{'}};\ensuremath{\tau})$ where the sum is taken over all classes of homotopic paths and the ${\ensuremath{\chi}}_{n}$ are a one-dimensional representation of the homotopy group. This is the form of the propagator as conjectured by Schulman.
120629215
Path-integral formulation of scattering theory: Central potentials
We consider central-potential scattering and determine a path-integral representation for the S matrix in polar coordinates. This is obtained by transforming to polar coordinates a Cartesian form of the nonrelativistic S matrix given by Campbell et al., and implementing an idea of Faddeev to obtain the appropriate asymptotic conditions. Our results are applied to scattering in an inverse-square potential to determine the correct phase shifts as well as the S matrix.
121164064
The "Herbst Hamiltonian" and the mass of boson stars
Abstract We present new accurate lower bounds on the ground state of the Hamiltonian p 2 +m 2 − α r . From these, we obtain a lower bound on the maximum mass of a boson star in the semirelativistic framework, and we compare it to a variational upper bound. We get 0.846 ( Gm ) −1 M max Gm ) −1 , where G is Newton's constant and m the boson mass.
1626474
Maximally realistic causal quantum mechanics
Abstract We present a causal Hamiltonian quantum mechanics in 2 n -dimensional phase space which is more realistic than de Broglie–Bohm mechanics. The positive definite phase space density reproduces as marginals the correct quantum probability densities of n +1 different complete commuting sets of observables e.g. positions, momenta and n −1 other sets.
8622370
Estimation of Impact Parameter on event-by-event basis in Nuclear Emulsion Detector
Photographic Nuclear Emulsion Detector (PNED) has been in use in nuclear and particle physics experiments from the begining, often as the major detector system. However, direct measurement of impact parameter in this detector does not seem possible due to some limitations. This paper discribe a simple yet strong method to estimate the impact parameter of events on event-by-event basis. Though this method is develpoed specifically for the photographic nuclear emulsion detector, we envision that it should also be applicable to other multi-target detector systems.
119234381
Suzaku X-ray spectral study of the Compton-thick Seyfert galaxy NGC 5135
We present the 0.5–50 keV Suzaku broad-band X-ray spectral study of the Compton-thick active galactic nucleus (AGN) in NGC 5135. The Suzaku observation provides the first detection of NGC 5135 above 10 keV that allowed us, for the first time, to estimate the absorbing column density, the intrinsic X-ray luminosity, the strength of the reflection component and the viewing angle of the torus for this AGN. The 0.5–10 keV spectrum of NGC 5135 is characterized by the standard components for a Compton-thick source: a scattered continuum, a prominent Fe Kα emission line [equivalent width (EW) ∼ 2.1 keV] and a soft excess. At higher energies (E > 10 keV), the intrinsic AGN continuum shows up, implying an absorbing column density of the order of ∼2.5 × 1024 cm−2 and the intrinsic 2.0–10 keV X-ray luminosity of ∼1.8 × 1043 erg s−1. Assuming a toroidal geometry of the reprocessing material, we show that an edge-on view of the obscuring torus is preferred in this source.
122477068
Strings with new boundary conditions and new dual amplitudes