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EnglishWe study here various expansions and approximations of the spectrum of non-commutative harmonic oscillators of the type [formula omitted] where A, B are constant 2×2 matrices such that A is real symmetric positive (or negative) definite and B映0 is real skew-symmetric, when the Hermitian matrix A+iB is positive (or negative) definite. Special emphasis is put on the lowest eigenvalue. These expansions are written in terms of det(A)/pf(B)2in the limit det(A)→+∞ for constant pf(B) and constant Tr(A)/v/detiA).
| Titolo: | On the Spectrum and the Lowest Eigenvalue of Certain Non-Communtative Harmonic Oscillators |
| Autore/i: | PARMEGGIANI, ALBERTO |
| Autore/i Unibo: | |
| Anno: | 2004 |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.2206/kyushujm.58.277 |
| Abstract: | We study here various expansions and approximations of the spectrum of non-commutative harmonic oscillators of the type [formula omitted] where A, B are constant 2×2 matrices such that A is real symmetric positive (or negative) definite and B映0 is real skew-symmetric, when the Hermitian matrix A+iB is positive (or negative) definite. Special emphasis is put on the lowest eigenvalue. These expansions are written in terms of det(A)/pf(B)2in the limit det(A)→+∞ for constant pf(B) and constant Tr(A)/v/detiA). |
| Data prodotto definitivo in UGOV: | 2005-09-20 18:41:49 |
| Data stato definitivo: | 2018-09-26T19:13:40Z |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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