[1] | Ulmer, W. ‘’Theoretical aspects of energy range relations, stopping power and energy straggling of protons’’ Rad. Phys. & Chem. 76, 1089 – 1107, 2007. |
[2] | Berger, M.J., Coursey, J.S, Zucker, M.A. ESTAR, PSTAR and ASTAR: Computer Programs for calculating Stopping-Power and Range Tables for Electrons, Protons and α-particles (version 1.2.2) National Institute of Standards and Technology, Gaithersburg, MD 2000. |
[3] | Berger, M.J. A Proton Monte Carlo transport program PTRAN National Institute of Standards and Technology, Report NISTIR-513, 1993. |
[4] | Chadwick, M.B., Young, P.G. Los Alamos National Laboratory Report LAUR-96-1649, 1996. |
[5] | Ulmer W. and Matsinos E. ‘’Theoretical methods for the calculation of Bragg curves and 3D distribution of proton beams’’ Eur. Phys. J. Special Topics 190, 1 – 81, 2010. |
[6] | Segrè, E. Nuclei and Particles (Benjamin, New York) 1964. |
[7] | Janni, J.F. Atomic Data & Nuclear Data Tables 27, 147 - 200, 1982. |
[8] | GEANT4 Documents 2005; access available from the internet address: http://geant4.web.cern/geant4/G4UsersDocuments /Overview/ html/. |
[9] | Bethe, H.A. ‚‘‘Zur Stossbremsung geladener Teilchen beim Durchgang durch Materie‘‘ Ann. Physik 5, 325 – 348, 1930. |
[10] | Bloch, F. ‚‘Bremsung rasch bewegten Teilchen beim Durchgang durch Materie‘‘ Ann. Physik 16, 285 - 292, 1933. |
[11] | ICRU Stopping powers and ranges for protons and α-particles ICRU Report 49 (Bethesda, MD), 1993. |
[12] | Bethe, H.A. ‘’Molière’s theory of multiple scattering’’ Phys. Rev. 89, 1256 - 1262, 1953. |
[13] | Molière, G. Z. ‚‘Theorie der Streuung schneller geladener Teilchen III‘‘ Naturforschung 10a, 177 – 200, 1955. |
[14] | Ciangaru, G., Polf, J., Bues, M., Smith, A. ‘’Benchmarking analytical calculations of proton doses in heterogeneous matter’’ Med. Phys. 32, 3511 – 3519, 2005. |
[15] | Boon, S.N. ‘’Dosimetry and quality control of scanning proton beams’’ PhD Thesis, Rijks University Groningen 1998. |
[16] | Ulmer W. and Schaffner B. ‘’Foundation of an analytical proton beamlet model for inclusion in a general proton dose calculation system’’Radiation Physics and Chemistry 80, 378 – 402, 2011. |
[17] | Rahu, M.R. Heavy Particle Radiotherapy (Academic Press, New York), 1980. |
[18] | Paganetti, H. ‘’Nuclear interactions in proton therapy: dose and relative biological effect distributions originating from primary and secondary particles’’ Phys. Med. Biol. 47, 747 - 762, 2002. |
[19] | Jiang, H., Paganetti, H. ‘’Adaptation of GEANT4 to Monte Carlo dose calculations based on CT data’’ Med. Phys. 31, 2811 – 2823, 2004. |
[20] | Yan, X., Titt, U., Koehler, A.M., Newhauser, W.D. ‘’Measurement of neutron dose equivalent to proton therapy patients outside of the proton radiation field’’ Nucl. Instr. Meth. A 476, 429 - 434, 2002. |
[21] | Polf, J.C., Newhauser, W.D. ‘’Calculations of neutron dose equivalent exposures from range-modulated proton therapy beams’’ Phy,s. Med. Biol. 50, 3859 - 3873, 2005 8/2005. e-Pub 8/2005. |
[22] | Elliott, J.P The Nuclear Shell Theory and its relation with other models. Wien, International Atomic Energy Agency, 1963. |
[23] | Evans, R.D. Atomic Nucleus (Robert E. Krieger, Malabar, FL, 1982), 1962. |
[24] | Meyer-Goeppert, M., Jensen J. Nuclear Shell Theory (Wiley, New York), 1970. |
[25] | Flügge, S. ‘’Zur Erweiterung der Breit-Wigner Formel auf höhere Quantenzustände‘‘ Z. Naturforschung 3a, 97 – 110, 1948. |
[26] | Abramowitz, M., Stegun, I. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables Natural Bureau of Standards, 1970. |
[27] | Ulmer, W., Hartmann, H.’’ On a geometric interpretation of Heisenberg’s uncertainty relation and the algebraic structure of the Pauli equation’’ Nuovo Cimento 47A, 59 – 73. 1978. |
[28] | Feynman, R.P. Photon-Hadron-Interaction (Benjamin, New York), 1972. |
[29] | Ulmer, W. ‘’On the application of a Gauss transformation in nonlinear quantum mechanics II: Problems with spin’’ Nuovo Cimento 51A, 309 - 323, 1979. |
[30] | Ulmer, W. ‘’On the representation of atoms and molecules as a self-interacting field with internal structure’’ Theoretica Chimica Acta 55, 179 - 201, 1980. |
[31] | Milner, R.G., ‘’New physics with polarized HeIII targets’’ Nucl. Phys. A588, 599C – 615C, 1990. |
[32] | Feynman, R.P., Hibbs, A.R. Quantum mechanics and path integrals (Mac Graw Hill, New York). 1965 |
[33] | Feynman, R.P. Quantum electrodynamics - Lecture Notes and Reprints (Benjamin, New York. 1962 |
[34] | Heisenberg, W. ‘’Zum Aufbau der Atomkerne und der starken Wechselwirkung‘‘ Z. Physik 96, 473 - 488, 1935. |