Generalization of Energy Level Motion

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概要

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• From the eigenvalue equation H,l p.(,11))=A.(2)l p.(2)) where H,;H.A-2V, onecan derive an autonomous system of first-order differential equations for the eigenvalues E.(A) and the matrix elements F..(1):=(p.(2)l Vl p,(2)) where ,11 is the independent variable. To solve the dynamical system we need the initial values E.() = 0)and l p.(2=0)). Thus one finds the motion of the energy levels E.(2). We derive thedependence of the survival probability as well as some thermodynamic quantities(free energy, entropy, specific heat) on ). Then we derive the equations of motions forthe extended case H, = H.-F 1 V. -X- )'V. and give an application to a supersymmetricHamiltonian.

• 社団法人日本物理学会の論文
• 1988-06-15

著者

• Steeb W.-h.

  Department Of Applied Mathematics And Nonlinear Studies Rand Afrikaans University

• Tonder A.J.van

  Department of Physics,Rand Afrikaans University

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