Results 1 to 10 of about 2,819,200 (237)

Boundary dynamics and topology change in quantum mechanics [PDF]

open access: green, 2015
We show how to use boundary conditions to drive the evolution on a Quantum Mechanical system. We will see how this problem can be expressed in terms of a time-dependent Schr\"{o}dinger equation.
Juan Manuel Pérez-Pardo   +2 more
core   +5 more sources

A Metrizable Topology on the Contracting Boundary of a Group [PDF]

open access: yesTransactions of the American Mathematical Society, 2018
The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space.
Cashen, Christopher H., Mackay, John M.
core   +5 more sources

Topology of the future chronological boundary: universality for spacelike boundaries [PDF]

open access: greenClass.Quant.Grav. 17 (2000) 551-603, 2000
A method is presented for imputing a topology for any chronological set, i.e., a set with a chronology relation, such as a spacetime or a spacetime with some sort of boundary. This topology is shown to have several good properties, such as replicating the manifold topology for a spacetime and replicating the expected topology for some simple examples ...
Steven G. Harris
openalex   +2 more sources

Bulk-boundary thermodynamic equivalence: a topology viewpoint [PDF]

open access: yesJournal of High Energy Physics, 2023
Setting the cosmological constant to be dynamical, we study the bulk and boundary thermodynamics of charged Anti-de Sitter black holes. We develop mass/energy formulas in terms of thermodynamic state functions for the extended thermodynamics, mixed ...
M. Zhang, Jie Jiang
semanticscholar   +1 more source

Bulk-boundary and RPS thermodynamics from topology perspective [PDF]

open access: yesChinese Physics C, High Energy Physics & Nuclear Physics, 2023
In this study, we investigate the bulk-boundary and restricted phase space (RPS) thermodynamics of Rissner-Nordström (R-N) AdS and 6-dimensional charged Gauss-Bonnet AdS black holes.
J. Sadeghi   +3 more
semanticscholar   +1 more source

Topology of critical points in boundary matrix duals [PDF]

open access: yesJournal of High Energy Physics, 2023
Computation of topological charges of the Schwarzschild and charged black holes in AdS in canonical and grand canonical ensembles allows for a classification of the phase transition points via the Bragg-Williams off-shell free energy.
Pavan Kumar Yerra   +2 more
semanticscholar   +1 more source

Smooth boundary topology optimization applied to an electrostatic actuator [PDF]

open access: green, 2008
Smooth boundary topology optimization (SBTO) avoids many of the problems encountered by conventional cell based systems coupled with material homogenization or density method. Shape optimization becomes part of topology optimization. The effectiveness of
D.-H. Kim   +2 more
openalex   +2 more sources

Shape morphing and topology optimization of fluid channels by explicit boundary tracking [PDF]

open access: greenInternational Journal for Numerical Methods in Fluids, 2018
An integrated shape morphing and topology optimization approach based on the deformable simplicial complex methodology is developed to address Stokes and Navier‐Stokes flow problems.
Mingdong Zhou   +3 more
openalex   +2 more sources

Boundary Criticality of PT-Invariant Topology and Second-Order Nodal-Line Semimetals. [PDF]

open access: yesPhysical Review Letters, 2020
For conventional topological phases, the boundary gapless modes are determined by bulk topological invariants. Based on developing an analytic method to solve higher-order boundary modes, we present PT-invariant 2D topological insulators and 3D ...
Kai Wang   +4 more
semanticscholar   +1 more source

Chiral Dirac superconductors: Second-order and boundary-obstructed topology [PDF]

open access: yesPhysical Review Research, 2020
We analyze the topological properties of a chiral ${p}+i{p}$ superconductor for a two-dimensional metal/semimetal with four Dirac points. Such a system has been proposed to realize second-order topological superconductivity and host corner Majorana modes.
A. Tiwari, Ammar Jahin, Yuxuan Wang
semanticscholar   +1 more source

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