On the ascent of infinite dimensional Hamiltonian operators

On the ascent of infinite dimensional Hamiltonian operators

In this paper, the ascent of 2 × 2 infinite dimensional Hamiltonian operators and a class of 4 × 4 infinite dimensional Hamiltonian operators are studied, and the conditions under which the ascent of 2 × 2 infinite dimensional Hamiltonian operator is 1 and the ascent of a class of 4 × 4 infinite dim...

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Veröffentlicht in:Chinese physics B 2015-08, Vol.24 (8), p.421-425
1. Verfasser: 吴德玉 陈阿拉坦仓
Format: Artikel
Sprache:eng
Schlagworte:
Ascent
Concretes
Criteria
dimensional
Elasticity
Hamiltonian
operator
ascent
Operators
root
vector
completeness
infinite
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Zusammenfassung:In this paper, the ascent of 2 × 2 infinite dimensional Hamiltonian operators and a class of 4 × 4 infinite dimensional Hamiltonian operators are studied, and the conditions under which the ascent of 2 × 2 infinite dimensional Hamiltonian operator is 1 and the ascent of a class of 4 × 4 infinite dimensional Hamiltonian operators that arises in study of elasticity is2 are obtained. Concrete examples are given to illustrate the effectiveness of criterions.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/24/8/084601