Some problems of symmetry of the Schrodinger equations / V. G. Bagrov, B. F. Samsonov, A. V. Shapovalov
Уровень набора: Soviet Physics Journal, Scientific JournalЯзык: английский.Страна: .Резюме или реферат: The Schrцdinger algebra sch3 is examined as a subalgebra of the algebra k1,4 of conformal transformations of the space R1, 4. Orbits of the associated representations of the Schrцdinger group are found in the algebra sch3. It is proven that all nontrivial local differential symmetry operators of second order belong to the enveloping algebra U(sch3) of the algebra sch3, and the space of these operators is defined. All the absolute identities and identities on the solutions of the Schrцdinger equation are obtained in the space of second-order operators of the algebra U(sch3).Примечания о наличии в документе библиографии/указателя: [References: p. 385 (4 tit.)].Аудитория: .Тематика: электронный ресурс | труды учёных ТПУ Ресурсы он-лайн:Щелкните здесь для доступа в онлайнНет реальных экземпляров для этой записи
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[References: p. 385 (4 tit.)]
The Schrцdinger algebra sch3 is examined as a subalgebra of the algebra k1,4 of conformal transformations of the space R1, 4. Orbits of the associated representations of the Schrцdinger group are found in the algebra sch3. It is proven that all nontrivial local differential symmetry operators of second order belong to the enveloping algebra U(sch3) of the algebra sch3, and the space of these operators is defined. All the absolute identities and identities on the solutions of the Schrцdinger equation are obtained in the space of second-order operators of the algebra U(sch3)
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