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On the Impossibility of Deriving Quantitative Intra-Multiplet Splittings from Symmetry-Complete Dynamics Alone
... analogous multiplet splitting's can be derived from symmetry considerations alone, without an independently motivated symmetry-breaking sector. We show this is impossible in a precise, model-independent sense. If a theory is defined entirely by a symmetry group S, a covariant representation Γ of S, and dynamics Hₘᴇ covariant under S, then no numerical value can be derived within that theory for the splitting between components of a nontrivial irreducible multiplet of observables, beyond the trivial ...
Изменен: 19.07.2026Путь: АрхивОрг. Все научные статьи на русском языке в одном месте. / Статьи по физике
Spectral-admittance and certifcation theory of multiresonator quantum memories
... fixed, up to the constant $\theta$, by the Hilbert transform of $\log|r(i\omega)|$. If $B\ne 1$, $|r|$ is unchanged but the group delay and the temporal readout mode change. *Proof.* This is the rational right-half-plane inner–outer factorization. ... ... (Positive-real synthesis implies physical MR-QM realization). Let $\Sigma_N(s)$ be a rational positive-real function with real symmetry, poles in the closed left half-plane, and $\Sigma_N(s)\to 0$ as $|s|\to\infty$. Then there exists a passive finite network ...
Изменен: 28.06.2026Путь: АрхивОрг. Все научные статьи на русском языке в одном месте. / Статьи по физике
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