http://swrc.ontoware.org/ontology#Article
Lax form of the quantum mechanical eigenvalue problem
en
YUKAWA Tetsuyuki
湯川 哲之
The quantum mechanical eigenvalue problem with the hamiltonian H = H0 + tV is written as a set of dynamical equations for the eigenvalues xn(t) and the matrix elements Vnm(t) regarding the parameter t as time. By appropriate changes of variables it can be expressed as a pair of matrix equations with the Lax form, hence we are able to write all the possible constants of the motion explicitly. Implications of these constants to the statistical properties of levels are discussed.
Physics Letters A
54
17
1883-1886
1985
Elsevier
00319007
https://doi.org/10.1016/0375-9601(86)90138-6|10.1016/0375-9601(86)90138-6
© 1986 Published by Elsevier B.V.