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Coherent states for arbitrary Lie group
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The concept of coherent states originally closely related to the nilpotent group of Weyl is generalized to arbitrary Lie group. For the simplest Lie groups the system of coherent states is constructed and its features are investigated.
Forward citations
Cited by 3 Pith papers
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Path integral approach to quantum thermalization
A quasiclassical Green function path integral reproduces and extends known spectral form factor results for quantum thermalization, including non-perturbative and diffusive regimes.
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Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$
Authors propose shaded A-polynomials A_a(ℓ_b, m_c) for SU(N) via CG chords from huge representations of U_q(su_N) in the classical limit, with examples for knots 3_1, 4_1, 5_1 in su_3.
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A century of coherent states
Proposes a construction of generalized coherent states for anharmonic oscillators using diagonal operator ordering on generalized hypergeometric functions tied to the system's Hamiltonian via ladder operators.
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