Harmonic oscillator position eigenstates via application of an operator on the vacuum



Título del documento: Harmonic oscillator position eigenstates via application of an operator on the vacuum
Revista: Revista mexicana de física E
Base de datos: PERIÓDICA
Número de sistema: 000368258
ISSN: 1870-3542
Autores: 1
1
Instituciones: 1Instituto Nacional de Astrofísica, Optica y Electrónica, Cholula, Puebla. México
Año:
Periodo: Jul-Dic
Volumen: 59
Número: 2
Paginación: 122-127
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés Harmonic oscillator squeezed states are states of minimum uncertainty, but unlike coherent states, in which the uncertainty in position and momentum are equal, squeezed states have the uncertainty reduced, either in position or in momentum, while still minimizing the uncertainty principle. It seems that this property of squeezed states would allow to obtain the position eigenstates as a limiting case, by doing null the uncertainty in position and infinite in momentum. However, there are two equivalent ways to define squeezed states, that lead to different expressions for the limiting states. In this work, we analyze both definitions and show the advantages and disadvantages of using them in order to find position eigenstates. With this in mind, but leaving aside the definitions of squeezed states, we find an operator that applied to the vacuum gives position eigenstates. We also analyze some properties of the squeezed states, based on the new expressions obtained for the eigenstates of the position
Disciplinas: Física y astronomía
Palabras clave: Física,
Eigenvalores,
Oscilador harmónico,
Estados comprimidos,
Incertidumbre,
Operador comprimido
Keyword: Physics and astronomy,
Physics,
Eigenvalues,
Harmonic oscillator,
Squeezed states,
Uncertainty,
Squeeze operator
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