An adiabatic invariant for linear oscillator in an external field

G. R. Hovhannisyan; Yeghiazar Taroyan

An adiabatic invariant for linear oscillator in an external field

G. R. Hovhannisyan
, Yeghiazar Taroyan

National Academy of Sciences of Armenia

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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A mathematical definition of an adiabatic invariant is proposed. We find out an adiabatic invariant for a linear oscillator in an external variable field using this definition. Estimates of changes of this invariant are proved. This formula contains a denominator which decreases when the differences of frequencies tend to zero (resonance).

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	70-75
Nifer y tudalennau	6
Cyfnodolyn	Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
Cyfrol	33
Rhif cyhoeddi	6
Statws	Cyhoeddwyd - 31 Ion 1998
Cyhoeddwyd yn allanol	Ie

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title = "An adiabatic invariant for linear oscillator in an external field",

abstract = "A mathematical definition of an adiabatic invariant is proposed. We find out an adiabatic invariant for a linear oscillator in an external variable field using this definition. Estimates of changes of this invariant are proved. This formula contains a denominator which decreases when the differences of frequencies tend to zero (resonance).",

author = "Hovhannisyan, \{G. R.\} and Yeghiazar Taroyan",

year = "1998",

month = jan,

day = "31",

language = "English",

volume = "33",

pages = "70--75",

journal = "Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)",

issn = "1068-3623",

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T1 - An adiabatic invariant for linear oscillator in an external field

AU - Hovhannisyan, G. R.

AU - Taroyan, Yeghiazar

PY - 1998/1/31

Y1 - 1998/1/31

N2 - A mathematical definition of an adiabatic invariant is proposed. We find out an adiabatic invariant for a linear oscillator in an external variable field using this definition. Estimates of changes of this invariant are proved. This formula contains a denominator which decreases when the differences of frequencies tend to zero (resonance).

AB - A mathematical definition of an adiabatic invariant is proposed. We find out an adiabatic invariant for a linear oscillator in an external variable field using this definition. Estimates of changes of this invariant are proved. This formula contains a denominator which decreases when the differences of frequencies tend to zero (resonance).

M3 - Article

SN - 1068-3623

VL - 33

SP - 70

EP - 75

JO - Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)

JF - Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)

IS - 6

ER -

An adiabatic invariant for linear oscillator in an external field

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