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Recursive Construction of the Bosonic Bogoliubov Vacuum State |
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PP: 11-15 |
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Author(s) |
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Dirceu Portes Jr,
Marcos O. Pinho,
Hilario Rodrigues,
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Abstract |
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| In this work we derive a novel procedure for obtaining the bosonic Bogoliubov vacuum states by using a recursive scheme.
The vacuum state for the new creation and annihilation operators is explicitly constructed in terms of the number states of the old
operators, which are connected by a Bogoliubov transformation. The coefficients of the ground state in Fock basis are thus obtained as
exclusive functions of the parameters of the Bogoliubov transformations. |
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