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Miguel Baltazar / Iván F. Valtierra / Andrei B. Klimov

Entropy, Vol 24, Iss 1580, p

2022 Band 1580

Abstract: We derive the explicit differential form for the action of the generators of the ... S ... U ... ( ... 1 ... , ... 1 ... ) ...

Abstract	We derive the explicit differential form for the action of the generators of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>U</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></semantics></math> group on the corresponding s -parametrized symbols. This allows us to obtain evolution equations for the phase-space functions on the upper sheet of the two-sheet hyperboloid and analyze their semiclassical limits. Dynamics of quantum systems with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>U</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></semantics></math> symmetry governed by compact and non-compact Hamiltonians are discussed in both quantum and semiclassical regimes.
Schlagwörter	phase space ; Wigner function ; SU(1,1) group ; Science ; Q ; Astrophysics ; QB460-466 ; Physics ; QC1-999
Thema/Rubrik (Code)	514
Sprache	Englisch
Erscheinungsdatum	2022-10-01T00:00:00Z
Verlag	MDPI AG
Dokumenttyp	Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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Giovani E. Morales-Hernández / Juan C. Castellanos / José L. Romero / Andrei B. Klimov

Entropy, Vol 23, Iss 684, p

2021 Band 684

Abstract: We apply the semi-classical limit of the generalized ... S ... O ... ( ... 3 ... ) ... map for representation of variable-spin ... ...

Abstract	We apply the semi-classical limit of the generalized <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>O</mi><mo>(</mo><mn>3</mn><mo>)</mo></mrow></semantics></math> map for representation of variable-spin systems in a four-dimensional symplectic manifold and approximate their evolution terms of effective classical dynamics on <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>T</mi><mo>*</mo></msup><msub><mi mathvariant="script">S</mi><mn>2</mn></msub></mrow></semantics></math> . Using the asymptotic form of the star-product, we manage to “quantize” one of the classical dynamic variables and introduce a discretized version of the Truncated Wigner Approximation (TWA). Two emblematic examples of quantum dynamics (rotor in an external field and two coupled spins) are analyzed, and the results of exact, continuous, and discretized versions of TWA are compared.
Schlagwörter	phase-space ; semiclassical evolution ; variable spin systems ; Science ; Q ; Astrophysics ; QB460-466 ; Physics ; QC1-999
Sprache	Englisch
Erscheinungsdatum	2021-05-01T00:00:00Z
Verlag	MDPI AG
Dokumenttyp	Artikel ; Online
Datenquelle	BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

Sie können sich den gewünschten Titel als lokale Nutzerin oder lokaler Nutzer von ZB MED direkt an den Standort Köln schicken lassen.