Analytic continuation in quantum dynamics is recast as a scale-dependent filtering process with asymmetric forward and inverse reconstruction capabilities determined by spectral structure.
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A spectral integral operator with analytic continuation unifies virtual wave transforms across diffusive and wave regimes and interprets excitations as spectral subspace projections.
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Analytic Continuation Between Real- and Imaginary-Time Quantum Dynamics and the Fundamental Instability of Inverse Reconstruction
Analytic continuation in quantum dynamics is recast as a scale-dependent filtering process with asymmetric forward and inverse reconstruction capabilities determined by spectral structure.
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A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific Projection
A spectral integral operator with analytic continuation unifies virtual wave transforms across diffusive and wave regimes and interprets excitations as spectral subspace projections.