Coherent States of Systems with Quadratic Hamiltonians



Document title: Coherent States of Systems with Quadratic Hamiltonians
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000382341
ISSN: 0103-9733
Authors: 1
2
3
Institutions: 1Tomsk State University, Department of Physics, Tomsk. Rusia
2Russian Academy of Sciences, P.N. Lebedev Physical Institute, Moscú. Rusia
3Universidade de Sao Paulo, Insituto de Fisica, Sao Paulo. Brasil
Year:
Season: Jun
Volumen: 45
Number: 3
Pages: 369-375
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental
English abstract Different families of generalized coherent states (CS) for one-dimensional systems with general timedependent quadratic Hamiltonian are constructed. In principle, all known CS of systems with quadratic Hamiltonian are members of these families. Some of the constructed generalized CS are close enough to the well-known due to Schrodinger and Glauber CS of a harmonic oscillator; we ¨ call them simply CS. However, even among these CS, there exist different families of complete sets of CS. These families differ by values of standard deviations at the initial time instant. According to the values of these initial standard deviations, one can identify some of the families with semiclassical CS. We discuss properties of the constructed CS, in particular, completeness relations, minimization of uncertainty relations and so on. As a unknown application of the general construction, we consider different CS of an oscillator with a time dependent frequency
Disciplines: Física y astronomía
Keyword: Física de partículas y campos cuánticos,
Estados coherentes
Keyword: Physics and astronomy,
Particle physics and quantum fields,
Coherent states
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