Download Introduction to Quantum Statistical Mechanics by N. N. Bogoliubov PDF

By N. N. Bogoliubov

Creation to Quantum Statistical Mechanics (Second variation) can be used as a complicated textbook via graduate scholars, even formidable undergraduates in physics. it's also appropriate for non specialists in physics who desire to have an outline of a few of the vintage and basic quantum types within the topic. the reason within the publication is special adequate to catch the curiosity of the reader, and entire adequate to supply the mandatory history fabric had to stay additional into the topic and discover the learn literature.

  • Quantum Statistical Mechanics
  • Some features of the strategy of Secondary Quantization
  • Quadratic Hamiltonians and Their software
  • Superfluidity and Quasi-Averages in difficulties of Statistical Mechanics
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    In this way the integration that yields the A the initial point and we expect to obtain the initial set of eigenfunctions ζ (se |s0 ). 30) In order for the theory to be self-consistent, the original set of electronic eigenfunctions ζ (se |s0 ) and the newly formed ζ (se |s0 |s0 ) have to be the same up to a phase factor, namely ζ j (se |s0 |s0 ) = exp(iϑ j ( ))ζ j (se |s0 ); j = 1, . . 31) JWDD011-02 JWDD011-Baer 32 February 24, 2006 6:47 Char Count= 0 BORN–OPPENHEIMER APPROACH: DIABATIZATION AND TOPOLOGICAL MATRIX where ϑ˜ j ; j = {1,N} are real phases.

    8b). 63) then the corresponding diabatic Schr¨odinger equation becomes similar to the one ˜ given in the following form [similar to presented in Eq. 38) with the potential W Eq. 64) Next, substituting Eq. 60) in Eq. 63) and recalling that the A matrix fulfills ˜ and A are related as follows: Eq. 2 APPLICATION OF COMPLEX EIGENFUNCTIONS 41 Finally, substituting Eq. 65) in Eq. 64) yields the diabatic potential presented in terms of the real A matrix [see Eq. 67) where θ (s) is an arbitrary potential function of the coordinates.

    40, 1011 (1980). T. Pacher, L. S. Cederbaum, and H. K¨oppel, Adv. Chem. Phys. 84, 293 (1993). M. Baer, J. Phys. Chem. A, 104, 3181 (2000). 1) where Tn (s) is the nuclear kinetic energy and He (se |s) is the electronic Hamiltonian, which also contains the nuclear Coulomb interactions and depends parametrically on the nuclei coordinates. 2) where E is the total energy and | (se , s) is the complete wavefunction that describes the motion of both the electrons and the nuclei. 3) j=1 where the ψ j (s), j = 1, .

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