Article
Recursive Construction of the Bosonic Bogoliubov Vacuum State
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Abstract
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.
Keywords
quantum physics, bosonic quantum systems, bosonic vacuum states, Bogoliubov transformation
Citation
Portes Jr, D., Pinho, M. O., & Rodrigues, H. (2013). Recursive construction of the bosonic bogoliubov vacuum state. Quantum Physics Letters, 2(1), 11–15. https://doi.org/10.12785/qpl/020102
D. Portes Jr, M. O. Pinho and H. Rodrigues, “Recursive construction of the bosonic bogoliubov vacuum state,” Quantum Physics Letters, vol. 2, no. 1, pp. 11–15, 2013, doi: 10.12785/qpl/020102.
Portes Jr D, Pinho MO, Rodrigues H. Recursive construction of the bosonic bogoliubov vacuum state. Quantum Physics Letters. 2013;2(1):11–15. doi:10.12785/qpl/020102.
Portes Jr, D., Pinho, M. O. and Rodrigues, H. (2013), ‘Recursive construction of the bosonic bogoliubov vacuum state’, Quantum Physics Letters, 2(1), pp. 11–15. Available at: https://doi.org/10.12785/qpl/020102.
Portes Jr, Dirceu, et al. “Recursive Construction of the Bosonic Bogoliubov Vacuum State.” Quantum Physics Letters, vol. 2, no. 1, 2013, pp. 11–15. https://doi.org/10.12785/qpl/020102.
Portes Jr, Dirceu, Marcos O. Pinho, and Hilário Rodrigues. “Recursive Construction of the Bosonic Bogoliubov Vacuum State.” Quantum Physics Letters 2, no. 1 (2013): 11–15. https://doi.org/10.12785/qpl/020102.
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