TY  - JOUR
AU  - Davidović, Ljubica
AU  - Arsenović, Dušan
AU  - Davidović, Milena D.
AU  - Davidović, Dragomir M.
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3706
AB  - Using the resolution of identity spanned by coherent states of the harmonic oscillator, any entire function of the creation and the annihilation operators and its action on a vector in Hilbert space can be defined directly and simply. We show that such a direct approach applied to non-entire functions ln (a) over cap and ln (a) over cap (dagger), present in the literature, may lead to errors and contradictions. We elucidate their roots and propose a way to avoid them. We discuss the obtained results.
T2  - Journal of Physics. A: Mathematical and Theoretical
T1  - Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them
VL  - 42
IS  - 23
DO  - 10.1088/1751-8113/42/23/235302
ER  - 

@article{
author = "Davidović, Ljubica and Arsenović, Dušan and Davidović, Milena D. and Davidović, Dragomir M.",
year = "2009",
abstract = "Using the resolution of identity spanned by coherent states of the harmonic oscillator, any entire function of the creation and the annihilation operators and its action on a vector in Hilbert space can be defined directly and simply. We show that such a direct approach applied to non-entire functions ln (a) over cap and ln (a) over cap (dagger), present in the literature, may lead to errors and contradictions. We elucidate their roots and propose a way to avoid them. We discuss the obtained results.",
journal = "Journal of Physics. A: Mathematical and Theoretical",
title = "Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them",
volume = "42",
number = "23",
doi = "10.1088/1751-8113/42/23/235302"
}

Davidović, L., Arsenović, D., Davidović, M. D.,& Davidović, D. M.. (2009). Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them. in Journal of Physics. A: Mathematical and Theoretical, 42(23).
https://doi.org/10.1088/1751-8113/42/23/235302

Davidović L, Arsenović D, Davidović MD, Davidović DM. Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them. in Journal of Physics. A: Mathematical and Theoretical. 2009;42(23).
doi:10.1088/1751-8113/42/23/235302 .

Davidović, Ljubica, Arsenović, Dušan, Davidović, Milena D., Davidović, Dragomir M., "Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them" in Journal of Physics. A: Mathematical and Theoretical, 42, no. 23 (2009),
https://doi.org/10.1088/1751-8113/42/23/235302 . .