The Virial theorem, which is related to the Feynman-Hellmann (FH) theorem, usually applies to Hamiltonians without coordinate-momentum coupling terms. In this paper we discuss when there are coordinate-momentum coupling terms in N-mode Hamiltonians, how the Virial theorem should be modified, and the energy contribution arising from the coordinate-momentum coupling is also be discussed.
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Univ Cadi Ayyad, Fac Sci & Technol, Lab LAMAI, BP 549, Marrakech 42000, MoroccoUniv Cadi Ayyad, Fac Sci & Technol, Lab LAMAI, BP 549, Marrakech 42000, Morocco
Bentbib, Abdeslem Hafid
Jbilou, Khalide
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Univ Littoral Cote dOpale, LMPA, 50 Rue F Buisson, F-62228 Calais, France
Univ Mohammed VI, Ben Guerir, MoroccoUniv Cadi Ayyad, Fac Sci & Technol, Lab LAMAI, BP 549, Marrakech 42000, Morocco
Jbilou, Khalide
Tahiri, Ridwane
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Univ Cadi Ayyad, Fac Sci & Technol, Lab LAMAI, BP 549, Marrakech 42000, MoroccoUniv Cadi Ayyad, Fac Sci & Technol, Lab LAMAI, BP 549, Marrakech 42000, Morocco
机构:
Department of Physics, Changwei Teacher's College, Weifang, Shandong
Department of Modern Physics, Univ. of Sci. and Technol. of China, Hefei, AnhuiDepartment of Physics, Changwei Teacher's College, Weifang, Shandong
Huaixin L.
Yongde Z.
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Department of Modern Physics, Univ. of Sci. and Technol. of China, Hefei, AnhuiDepartment of Physics, Changwei Teacher's College, Weifang, Shandong