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- W1914478189 abstract "In this paper we point out that the Jaynes-Cummings model without taking a renonance conditon gives a non-commutative version of the simple spin model (including the parameters $x$, $y$ and $z$) treated by M. V. Berry. This model is different from usual non-commutative ones because the x-y coordinates are quantized, while the z coordinate is not. One of new and interesting points in our non-commutative model is that the strings corresponding to Dirac ones in the Berry model exist only in states containing the ground state (${cal F}times {ket{0}} cup {ket{0}}times {cal F}$), while for other excited states (${cal F}times {cal F} setminus {cal F}times {ket{0}} cup {ket{0}}times {cal F}$) they don't exist. It is probable that a non-commutative model makes singular objects (singular points or singular lines or etc) in the corresponding classical model mild or removes them partly." @default.
- W1914478189 created "2016-06-24" @default.
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- W1914478189 date "2004-10-26" @default.
- W1914478189 modified "2023-09-27" @default.
- W1914478189 title "Jaynes-Cummings Model and a Non-Commutative Geometry : A Few Problems Noted" @default.
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