On time-dependent perturbation theory in matrix mechanics and time averaging
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
On time-dependent perturbation theory in matrix mechanics and time averagingAuthor (s)
Date
2015Publisher
European Physical SocietyISSN
0143-0807; 1361-6404Bibliographic citation
CASAS, Fernando. On time-dependent perturbation theory in matrix mechanics and time averaging. European Journal of Physics, 2015, vol. 36, no 5, p. 055049.Type
info:eu-repo/semantics/articlePublisher version
http://iopscience.iop.org/article/10.1088/0143-0807/36/5/055049Version
info:eu-repo/semantics/publishedVersionAbstract
The time-dependent quantum perturbation theory developed by Born, Heisenberg and Jordan in 1926 is revisited. We show that it not only reproduces the standard theory formulated in the interaction picture, but also ... [+]
The time-dependent quantum perturbation theory developed by Born, Heisenberg and Jordan in 1926 is revisited. We show that it not only reproduces the standard theory formulated in the interaction picture, but also allows one to construct more accurate approximations if time averaging techniques are employed. The theory can be rendered unitary even if the expansion is truncated by using a transformation previously suggested by Heisenberg. We illustrate the main features of the procedure on a simple example which clearly shows its advantages in comparison with the standard perturbation theory. [-]
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European Journal of Physics, 2015, vol. 36, no 5, p. 055049.Rights
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [751]