Representation of quantum mechanical wavefunctions by complex valued extensions of classical canonical transformation generators
Por:
Jung C., Kruger H.
Publicada:
1 ene 1982
Resumen:
Sufficient conditions are given for the possibility to construct quantum mechanical wavefunctions by the sole knowledge of an appropriate sequence of classical canonical transformations which map a given Hamiltonian onto the new position variable. The transformation matrix element for each individual step of this sequence is given by the semiclassical limit expression of these matrix elements; it is a function of the generator of this transformation step only. The wavefunction, i.e. the transformation matrix element for the total transformation, is obtained as a multiple integral over the transformation matrix elements of the various intermediate steps. The practicability of this procedure is demonstrated by several examples. The authors consider time-independent systems with one degree of freedom.
Filiaciones:
Jung C.:
Fachbereich Phys., Univ. Kaiserslautern, Kaiserslautern, Germany
Kruger H.:
Fachbereich Phys., Univ. Kaiserslautern, Kaiserslautern, Germany
|