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Rigid Surface Operator and Symbol Invariant of Partitions
The symbol is used to describe the Springer correspondence for the classical groups by Lusztig. We refine the explanation that the S -duality maps of...
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Method of Invariant Grids
The method of invariant grids is developed for a grid-based computation of invariant manifolds.
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Generic spectrum of the weighted Laplacian operator on Cayley graphs
In this paper, we investigate the spectrum of a class of weighted Laplacians on Cayley graphs and determine under what conditions the corresponding...
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The Schmidt Rank for the Commuting Operator Framework
In quantum information theory, the Schmidt rank is a fundamental measure for the entanglement dimension of a pure bipartite state. Its natural...
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The basis invariant flavor puzzle
The flavor puzzle of the Standard Model quark sector is formulated in a non-perturbative way, using basis invariants that are independent of the...
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Classical shadows with Pauli-invariant unitary ensembles
Classical shadows provide a noise-resilient and sample-efficient method for learning quantum system properties, relying on a user-specified unitary...
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A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator
AbstractWe show that the dynamics of the scalar Higgs field in the Abelian Higgs–Kibble model supplemented with a dimension-6 derivative operator...
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6 Galilei Invariant Wave Equations
According to the results of the previous sections, a free elementary quantum object that is invariant under the Galilei group is described by an...
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A review on propagation-invariant, quasi-propagation-invariant beams and coordinate axicons
Propagation-invariant and structurally-stable beams have attracted the attention of research communities for their distinct appearances and angular...
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Slow Invariant Manifolds for Open Systems
Suppose that the slow invariant manifold is found for a dissipative system. What have we constructed it for? First of all, for solving the Cauchy...
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Topological Quantum Field Theories and Operator Algebras
We have seen much fruitful interactions between 3-dimensional topology and operator algebras since the stunning discovery of the Jones polynomial for...
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No invariant perfect qubit codes
Perfect tensors describe highly entangled quantum states that have attracted particular attention in the fields of quantum information theory and...
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Analytically solvable Hamiltonian in invariant subspaces
We study a generic time-dependent Jaynes–Cummings model, discovering universal features of its time evolution on a dynamical time scale which is here...
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Gauged permutation invariant matrix quantum mechanics: path integrals
We give a path integral construction of the quantum mechanical partition function for gauged finite groups. Our construction gives the quantization...
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Multidimensional Spinors, Invariant Form, and the Dirac Equation
AbstractWe have studied restrictions on the invariant form and matrix of the generalized Dirac adjoint in a space of arbitrary dimension and...
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Accuracy Estimation and Post-Processing in Invariant Manifolds Construction
The post-processing algorithms are developed for the accuracy control and enhancement of approximate invariant manifold.
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Rotationally invariant isospinning baby-skyrmions dressed by fermions
We couple Fermions to the isospinning (2+1) baby-skyrme model. We show that consistent rotationally invariant localised solutions can be found but...