Functional Determinants for Radially Separable Partial Differential Operators

Functional Determinants for Radially Separable Partial Differential Operators

Functional determinants of differential operators play a prominent role in many fields of theoretical and mathematical physics, ranging from condensed matter physics, to atomic, molecular and particle physics. They are, however, difficult to compute reliably in non-trivial cases. In one dimensional...

Full description

Bibliographic Details
Main Author:	G. V. Dunne
Format:	Article
Language:	English
Published:	CTU Central Library 2007-01-01
Series:	Acta Polytechnica
Subjects:	quantum field theory functional determinants zeta functions spectral theory partial differential operators
Online Access:	https://ojs.cvut.cz/ojs/index.php/ap/article/view/916

Similar Items

Quantum Fields without Wick Rotation
by: Alessio Baldazzi, et al.
Published: (2019-03-01)

An integral involving the generalized zeta function
by: E. Elizalde, et al.
Published: (1990-01-01)

Partial Differential Equations and Quantum States in Curved Spacetimes
by: Zhirayr Avetisyan, et al.
Published: (2021-08-01)

First-order linear partial differential equations in the class of separately differentiable functions
by: V.I. Myronyk, et al.
Published: (2013-06-01)

First-order linear partial differential equations in the class of separately differentiable functions
by: V. I. Myronyk, et al.
Published: (2013-06-01)

The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations
by: Carl Leake, et al.
Published: (2020-08-01)

Fourier Analysis On Number Fields And The Global Zeta Functions
by: Fernandes, Jonathan
Published: (2014)

The spectral theory of complex sturm-liouville operators
by: Race, David
Published: (2015)

Boundary Value Problems, Weyl Functions, and Differential Operators
by: Behrndt, Jussi
Published: (2020)

Selfadjoint extensions of a singular multipoint differential operator of first order
by: Zameddin I. Ismailov, et al.
Published: (2013-05-01)

Thermal dynamics on the lattice with exponentially improved accuracy
by: Jan M. Pawlowski, et al.
Published: (2018-03-01)

On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
by: Khalid Challab, et al.
Published: (2017-12-01)

Zeta Functions and the Cosmos—A Basic Brief Review
by: Emilio Elizalde
Published: (2021-12-01)

Spectral Theory of Differential and Difference Operators in Hilbert Spaces
by: Nyamwala, Fredrick Oluoch
Published: (2010)

Self-adjoint Extensions of Schrödinger Operators with ?-magnetic Fields on Riemannian Manifolds
by: T. Mine
Published: (2010-01-01)

AN ENHANCEMENT OF THE ZAGIER CONJECTURE
by: Satou, Nobuo
Published: (2017)

Spectral theory of self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions
by: Zinsou, Bertin
Published: (2012)

Deep Theory of Functional Connections: A New Method for Estimating the Solutions of Partial Differential Equations
by: Carl Leake, et al.
Published: (2020-03-01)

A Novel Exact Plate Theory for Bending Vibrations Based on the Partial Differential Operator Theory
by: Chuanping Zhou, et al.
Published: (2021-08-01)

On the entire solutions for several partial differential difference equations (systems) of Fermat type in C<sup>2</sup>
by: Hong Yan Xu, et al.
Published: (2021-01-01)

Spectral Geometry of Partial Differential Operators
by: Ruzhansky, Michael
Published: (2020)

Spectral Geometry of Partial Differential Operators
Published: (2020)

Spectral function for a nonsymmetric differential operator on the half line
by: Wuqing Ning
Published: (2017-05-01)

Study of Second Hankel Determinant for Certain Subclasses of Functions Defined by Al-Oboudi Differential Operator
by: K. A. Challab et al.
Published: (2020-03-01)

Eigenvalues of Differential Operators and Nontrivial Zeros of L-functions
by: Wu, Dongsheng
Published: (2020)

Multiple solutions of nonlinear partial functional differential equations and systems
by: László Simon
Published: (2019-03-01)

Fock-space projection operators for semi-inclusive final states
by: Robert Dickinson, et al.
Published: (2017-11-01)

Partial Sums of Some Fractional Operators of Bounded Turning
by: Zainab Esa Abdulnaby
Published: (2020-12-01)

Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications
by: Ramūnas Garunkštis, et al.
Published: (2011-04-01)

An Exploration of Riemann's Zeta Function and Its Application to the Theory of Prime Distribution
by: Segarra, Elan
Published: (2006)

Zeta regularization of infinite products
by: Mauro eSpreafico
Published: (2013-11-01)

Joint discrete approximation of a pair of analytic functions by periodic zeta-functions
by: Aidas Balčiūnas, et al.
Published: (2020-01-01)

On large gaps between consecutive zeros, on the critical line, of some zeta-functions
by: Bredberg, Johan
Published: (2011)

Existence and stability for some partial functional differential equations with infinite delay
by: Khalil Ezzinbi
Published: (2003-11-01)

Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations
by: Khalil Ezzinbi, et al.
Published: (2010-09-01)

Computing Eigenmodes of Elliptic Operators on Manifolds Using Radial Basis Functions
by: Delengov, Vladimir
Published: (2018)

ON WARD RELATIONS
by: Rossberg, Klaus, 1934-
Published: (1965)

Sufficient conditions of local solvability for partial differential operators on spaces of Colombeau type
by: Claudia Garetto
Published: (2009-09-01)

Reproducing kernel method for the solutions of non-linear partial differential equations
by: Elif Nuray Yildirim, et al.
Published: (2021-01-01)

Quantum Field Theory, Effective Potentials and Determinants of Elliptic Operators
by: Paul, Percy Louis
Published: (2010)