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Matches in SemOpenAlex for { <https://semopenalex.org/work/W2002326475> ?p ?o ?g. }

• W2002326475 abstract "For the models of $N$-body identical harmonic oscillators interacting through potentials of homogeneous degree -2, the unitary operator that transforms a system of time-dependent parameters into that of unit spring constant and unit mass of different timescale is found. If the interactions can be written in terms of the differences between positions of two particles, it is also shown that the Schrodinger equation is invariant under a unitary transformation. These unitary relations can be used not only in finding coherent states from the given stationary states in a system, but also in finding exact wave functions of the Hamiltonian systems of time-dependent parameters from those of time-independent Hamiltonian systems. Both operators are invariant under the exchange of any pair of particles. The transformations are explicitly applied for some of the Calogero-Sutherland models to find exact coherent states." @default.
• W2002326475 created "2016-06-24" @default.
• W2002326475 creator A5053232617 @default.
• W2002326475 date "2001-02-08" @default.
• W2002326475 modified "2023-09-24" @default.
• W2002326475 title "Exact coherent states in one-dimensional quantum many-body systems with inverse-square interactions" @default.
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• W2002326475 doi "https://doi.org/10.1103/physreva.63.032104" @default.
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