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Quantum Physics Letters
An International Journal


Volumes > Vol. 2 > No. 1


Recursive Construction of the Bosonic Bogoliubov Vacuum State

PP: 11-15
Dirceu Portes Jr, Marcos O. Pinho, Hilario Rodrigues,
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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