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• W2963703455 abstract "We construct a new class of coherent states indexed by points z of the complex plane and depending on two positive parameters m and $$ varepsilon >0$$ by replacing the coefficients $$z^{n}/sqrt{n!}$$ of the canonical coherent states by polyanalytic functions. These states solve the identity of the states Hilbert space of the harmonic oscillator at the limit $$varepsilon rightarrow 0^{+}$$ and obey a thermal stability property. Their wavefunctions are obtained in a closed form and their associated Bargmann-type transform is also discussed." @default.
• W2963703455 created "2019-07-30" @default.
• W2963703455 creator A5058799912 @default.
• W2963703455 date "2017-12-09" @default.
• W2963703455 modified "2023-10-07" @default.
• W2963703455 title "Epsilon coherent states with polyanalytic coefficients for the harmonic oscillator" @default.
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• W2963703455 doi "https://doi.org/10.1007/s13324-017-0202-8" @default.
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