Results 51 to 60 of about 67,838 (152)
Coordinate‐ and Spacetime‐Independent Quantum Physics
Annalen der Physik, Volume 538, Issue 1, January 2026.This article studies in the framework of quantum field theory in curved spacetime, if there exists a single zero‐rank‐tensor solution of a Klein‐Gordon PDE, being valid at once for the depicted spacetimes. The answer is shown to be affirmative, even for a class of such solutions having the standard applications in particle physics. ABSTRACT The concept
Viacheslav A. Emelyanov, Daniel Robertz
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On Nontrivial Zeros of Riemann Zeta Function
, 2018 Let {\Xi} be a function relating to the Riemann zeta function with . In this paper, we construct a function containing and {\Xi} , and prove that satisfies a nonadjoint boundary value problem to a nonsingular differential equation if is any nontrivial ...
Niu, Pengcheng
core
Annalen der Physik, Volume 538, Issue 1, January 2026.The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
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, 2018 The function $G(z) = \int_0^\infty \xi^{z-1}(1+\exp(\xi))^{-1} \, d\xi$ is analytic and has the same zeros as the Riemann zeta function in the critical strip $D = \{z \in {\mathbf C} : 0 < \Re z < 1\}$.
Stenger, Frank
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On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians
Annalen der Physik, Volume 538, Issue 1, January 2026.Stochastic Hamiltonian formulations of open quantum dynamics are revisited, highlighting their roots in stochastic calculus. The connections among stochastic Hamiltonians, stochastic Schrödinger equations, and master‐equation approaches are made explicit.
Pietro De Checchi +3 more
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On a solution to a functional equation
, 2018 We offer a solution to a functional equation using properties of the Mellin transform. A new criteria for the Riemann Hypothesis is offered as an application of our main result, through a functional relationship with the Riemann xi ...
Patkowski, Alexander E
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Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
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On the harmonic continuation of the Riemann xi function
, 2023 We generalize the harmonic continuation of the Riemann xi-function to the $n$-dimension case, to obtain the solution to the Dirichlet problem on $\mathbb{R}_{+}^{n+1}.$ We also provide a new expansion for the harmonic continuation of the Riemann xi-function using an expansion given by R.J. Duffin.
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Riemann's Zeta Function: The alternating Xi-Function Xia(s)
, 2016 As well known, the study of Riemanns zeta function (s) involves the related entire function (s). A close relative of (s) is the alternating zeta function (s). Similar to (s), also (s) has a corresponding entire function _a (s). After establishing its definition and a related functional equation, formulas based on incomplete gamma ...
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The integral representation for the Riemann Ξ-function
Journal of Number Theory, 1971 AbstractThe function Φ(u) in the integral representation for the Rieman Ξ-function is shown to be monotone decreasing for u ≥ 0, and an application made to show a function having a similar integral representation has no real zeros.
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