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By S. Ketov

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B 199, 64 (2010). [6] J. P. Vary, H. Honkanen, Jun Li, P. Maris, A. M. Shirokov, S. J. Brodsky, A. Harindranath, G. F. de Teramond, P. Sternberg, E. G. Ng, C. Yang and M. Sosonkina, Ab initio Hamiltonian approach to light nuclei and to quantum field theory, Pramana Jnl of Phys. 75, 39 (2010). [7] H. Honkanen, P. Maris, J. P. Vary and S. J. Brodsky, Electron in a transverse harmonic cavity,’ Phys. Rev. Lett. 106, 061603 (2011). [8] J. P. Vary, Non-Perturbative Hamiltonian Light-Front Field Theory: Progress and Prospects, Proceedings of Science, PoS(LC2010)001 (available online).

For antiperiodic boundary conditions. The full 3D single-particle basis state is defined by the product form Ψk,n,m ( x − , ρ, ϕ) = ψk ( x − )Φn,m (ρ, ϕ). (3) For illustrative purposes, we select a transverse mode with n = 1, m = 0 joined together with the k = 12 longitudinal antiperiodic boundary condition mode of Eq. 2 and display slices of the real part of this 3-D basis function at selected longitudinal coordinates, x − in Fig. 5. For comparison, we present a second example with box boundary conditions for the longitudinal mode in Fig.

Letts. B 644 (2007) 33 [nucl-th/0512105]. [15] P. Navratil, V. G. Gueorguiev, J. P. Vary, W. E. Ormand and A. Nogga, Structure of A = 10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory, Phys. Rev. Lett. 99 (2007)042501 [nucl-th/0701038]. [16] P. Maris, M. Sosonkina, J. P. Vary, E. G. Ng and C. Yang, Scaling of ab-initio nuclear physics calculations on multicore computer architectures, International Conference on Computer Science, ICCS 2010, Procedia Computer Science 1 (2010) 97.

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Advances in Quantum Field Theory by S. Ketov

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