Behavior of transition amplitude and evolution of the energy of quantum kicked rotator

Abdolrasoul GHARAATI

Makale detayları

Behavior of transition amplitude and evolution of the energy of quantum kicked rotator

Yazarlar:

Abdolrasoul GHARAATI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2009 Vol.33 Issue 4, pp.235-242

Belge Tipi:

Makale

Yayın Tarihi:

3/2009

Belge Dili:

Türkçe

Document ID (Org No.):

2000760793

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Anahtar kelimeler:

Özet:

 

I give certain analytical properties of quantum kicked  rotators, both theoretic and observed from computation.  I give an  expression for the wave function between two successive impulses.  An  element of the transition matrix, the matrix that takes the wave  function from one impulse to another, exponentially falls away from  the main diagonal.  The decay parameter is given for a few special  cases of a periodic potential.  Finally, the transition matrix is used  to derive the time evolution of the energy for periodic cases and for  fundamental resonances.  The empirical expressions of Dorizzi et al.  are compatible with our analytical results.

 

I give certain analytical properties of quantum kicked  rotators, both theoretic and observed from computation.  I give an  expression for the wave function between two successive impulses.  An  element of the transition matrix, the matrix that takes the wave  function from one impulse to another, exponentially falls away from  the main diagonal.  The decay parameter is given for a few special  cases of a periodic potential.  Finally, the transition matrix is used  to derive the time evolution of the energy for periodic cases and for  fundamental resonances.  The empirical expressions of Dorizzi et al.  are compatible with our analytical results.

Makale detayları

Behavior of transition amplitude and evolution of the energy of quantum kicked rotator

Yazarlar:

Abdolrasoul GHARAATI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2009 Vol.33 Issue 4, pp.235-242

Belge Tipi:

Makale

Yayın Tarihi:

3/2009

Belge Dili:

Türkçe

Document ID (Org No.):

2000760793

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Quantum chaos

quantum kicked rotator

Sayı

Makale detayları

Behavior of transition amplitude and evolution of the energy of quantum kicked rotator

Yazarlar: Abdolrasoul GHARAATI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 2009 Vol.33 Issue 4, pp.235-242

Belge Tipi: Makale

Yayın Tarihi: 3/2009

Belge Dili: Türkçe

Document ID (Org No.): 2000760793

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Quantum chaos

quantum kicked rotator

Sayı

Yazarlar:

Abdolrasoul GHARAATI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2009 Vol.33 Issue 4, pp.235-242

Belge Tipi:

Makale

Yayın Tarihi:

3/2009

Belge Dili:

Türkçe

Document ID (Org No.):

2000760793

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101