Automorphisms on the Poset of Products of Two Projections
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-019-8191-1
Abstract: Let ℌ be a complex Hilbert space with dimℌ ≥ 3 and $${\cal B}({\cal H})$$ℬ(ℋ) the algebra of all bounded linear operators on ℌ. Let ≤◇ be the diamond order on $${\cal B}({\cal H})$$ℬ(ℋ), that… read more here.
Keywords: overline; poset products; cal cal; two projections ... See more keywords
Notes on Real Interpolation of Operator Lp-Spaces
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-021-0622-2
Abstract: Let $${\cal M}$$ ℳ be a semifinite von Neumann algebra. We equip the associated non-commutative L p -spaces with their natural operator space structure introduced by Pisier via complex interpolation. On the other hand, for… read more here.
Keywords: banach space; cal ell; space; cal cal ... See more keywords
Demonstration of a two-dimensional $${\cal P}{\cal T}$$PT-symmetric crystal
Sign Up to like & getrecommendations! Published in 2019 at "Nature Communications"
DOI: 10.1038/s41467-018-08104-x
Abstract: With the discovery of $${\cal P}{\cal T}$$PT-symmetric quantum mechanics, it was shown that even non-Hermitian systems may exhibit entirely real eigenvalue spectra. This finding did not only change the perception of quantum mechanics itself, it… read more here.
Keywords: cal cal; two dimensional; cal symmetric; mechanics ... See more keywords
Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
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DOI: 10.1038/s41467-019-08596-1
Abstract: Open physical systems with balanced loss and gain, described by non-Hermitian parity-time $$\left( {{\cal P}{\cal T}} \right)$$PT reflection symmetric Hamiltonians, exhibit a transition which could engender modes that exponentially decay or grow with time, and… read more here.
Keywords: parity time; cal cal; time; symmetry breaking ... See more keywords
Properties of multiple D0-brane systems: 11D origin, equations of motion, and their solutions
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DOI: 10.1103/physrevd.107.086006
Abstract: We study the properties of 10D multiple D0-brane (mD0) system described by recently proposed complete supersymmetric and $\kappa$-symmetric nonlinear action which includes an arbitrary positive definite function ${\cal M}({\cal H})$ of the relative motion Hamiltonian… read more here.
Keywords: system; cal cal; relative motion; motion ... See more keywords