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A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

高能物理 - 唯象学 · 物理学 2016-09-06 Hitoshi Ito

The absence of recognizable, low energy quantum gravitational effects requires that some asymptotic series expansion be wonderfully accurate, but the correct expansion might involve logarithms or fractional powers of Newton's constant. That…

广义相对论与量子宇宙学 · 物理学 2015-05-30 P. J. Mora , N. C. Tsamis , R. P. Woodard

We study the effect of a time-varying solenoidal vector potential for a quantum particle confined to a ring. The setup appears to be a time-varying version of the Aharonov-Bohm effect, but since the particle moves in the presence of fields,…

量子物理 · 物理学 2025-12-19 Patrick Hinrichs , Douglas Singleton , Nader Inan

A relation between the deformed Hulth\'en potential and the Eckart one is used to write the bound-state wavefunctions of the former in terms of Jacobi polynomials and to calculate their normalization coefficients. The shape invariance…

数学物理 · 物理学 2020-02-11 C. Quesne

In this paper the stationary Klein-Gordon equation is considered for the Coulomb potential in non-commutative space. The energy shift due to noncommutativeity is obtained via the perturbation theory. Furthermore, we show that the degeneracy…

数学物理 · 物理学 2009-11-26 Amin Rezaei Akbarieh , Hossein Motavalli

We study the self-interaction effects for the Dirac particle moving in an external field created by static charges in (1+1)-dimensions. Assuming that the total electric charge of the system vanishes, we show that the asymptotically linearly…

高能物理 - 理论 · 物理学 2008-11-26 Fuad M. Saradzhev

We discuss modifications to the Hawking spectrum that arise when the asymptotic states are supertranslated or superrotated. For supertranslations we find nontrivial off-diagonal phases in the two-point correlator although the emission…

高能物理 - 理论 · 物理学 2021-02-09 Ricardo Z. Ferreira , Carlo Heissenberg

The semiclassical backreaction equations are solved in closed Robertson-Walker spacetimes containing a positive cosmological constant and a conformally coupled massive scalar field. Renormalization of the stress-energy tensor results in…

广义相对论与量子宇宙学 · 物理学 2023-08-23 Leda Gao , Paul R. Anderson , Robert S. Link

Exact correspondence between Israel-Stewart theory and first-order causal and stable hydrodynamics is established for the boost-invariant massive case with zero baryon density and the same constant relaxation times used in the shear and…

核理论 · 物理学 2020-08-19 Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski

Using the framework of the Covariant Spectator Theory (CST) [1] we are developing a covariant model formulated in Minkowski space to study mesonic structure and spectra. Treating mesons as effective $q\bar{q}$ states, we focused in [2] on…

高能物理 - 唯象学 · 物理学 2014-11-18 S. Leitão , A. Stadler , M. T. Peña , E. P. Biernat

Recently, the bound state solutions of a confined Klein-Gordon particle under the mixed scalar-vector generalized symmetric Woods-Saxon potential in one spatial dimension have been investigated. The obtained results reveal that in the spin…

量子物理 · 物理学 2019-08-29 B. C. Lütfüoğlu

We present in this paper electron impact broadening for six Ar XV lines using our quantum mechanical formalism and the semiclassical perturbation one. Additionally, our calculations of the corresponding atomic structure data (energy levels…

原子物理 · 物理学 2015-06-17 Haykel Elabidi , Sylvie Sahal-Bréchot , Milan S Dimitrijević

We reconsider general aspects of Galilean-invariant thermal field theory. Using the proposal of our companion paper, we recast non-relativistic hydrodynamics in a manifestly covariant way and couple it to a background spacetime. We examine…

高能物理 - 理论 · 物理学 2015-05-20 Kristan Jensen

Backreactions are considered in a de Sitter spacetime whose cosmological constant is generated by the potential of scalar field. The leading order gravitational effect of nonlinear matter fluctuations is analyzed and it is found that the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 B. Losic , W. G. Unruh

The Klein-Gordon equation describes the wave-like behavior of spinless particles since it is Lorentz invariant. While it seemed initially ripe for explaining the electronic structure of the hydrogen atom, the lack of a unconditional…

量子物理 · 物理学 2025-02-07 P. -A. Gourdain

In this paper, we give the covariant formulation of second gradient electrodynamics, which is a generalized electrodynamics of second order including derivatives of higher order. The relativistic form of the field equations, the…

经典物理 · 物理学 2020-11-23 Markus Lazar , Jakob Leck

We analyze the calculation of bound states for a nonrelativistic spin-half neutral particle under the influence of a Coulomb-like potential induced by Lorentz symmetry breaking effects. We show that the truncation condition proposed by the…

量子物理 · 物理学 2020-09-29 Francisco M. Fernández

This is a study of induced nonlinear realizations of a Lie group G in which the presence of one field induces nonlinear transformations on another field. The covariant derivative structure is similar in form to that for local gauge theory.…

高能物理 - 理论 · 物理学 2010-12-07 Bill Dalton

A classic no-go theorem in one-dimensional quantum mechanics can be evaded when the potentials are unbounded below, thus allowing for novel parity-paired degenerate energy bound states. We numerically determine the spectrum of one such…

量子物理 · 物理学 2013-09-26 Avik Dutt , Trisha Nath , Sayan Kar , Rajesh Parwani

We study a first-order formulation for the coupled evolution of a quantum scalar field and a classical Friedmann universe. The model is defined by a state dependent hamiltonian constraint and the time dependent Schr\"odinger equation for…

广义相对论与量子宇宙学 · 物理学 2021-12-20 Viqar Husain , Suprit Singh