Vpqme #36
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Update VPQME paper with the equations alligned until equation 1387, there is need to provide equation labels properly.
Arranged equations until equation 1357, assigned the equation labels properly until the equation 1357.
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Dear Camilo, |
Fixed \rm for Euler number, changed the equations 760 and 762 in order to write the equations using \times to represent the multiplication in the equations that were too long to be fixed in one line.
Introduce the section V. Free energy minimization with Nth Bogoliubov inequality, in order to obtain the variational parameters in any order from the weak form of the Quantum Bogoliubov inequality, from equation 1361 to 1407 of the new document.
Introduce some equations between 1383 to 1401 of the new document.
Fixed an equal sign in equation 1401.
This document contains the equations from 1401 to 1452 which shows a form to calculate the coefficients vk using the expected value of an operator written in terms of H_0 and H_I in the equation 1428 of the new document. Also includes the terms v2 and v3 present the paper of Decoster and Kimura et al. for the second quantum Bogoliubov inequality in the equations 1429 to 1439 of the new document. Also the document defines E_free,MNs in the equation 1448 to denote the strong form of the Quantum Bogoliubov inequality of order Mn and the equation 1452 of the new document that shows the weak form of the Quantum Bogoliubov inequality that was used by Kimura et al.
Changed the document using as reference the document VPQME from master (b9486f3), copying the changes from one document to other.
Conflicts solved, an email with details will be sent after I can see the document with these changes.
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