Modelling Short Range Alternating Transitions by Alternating Practical Test Functions

  • Stefan Pusca
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4488)

Abstract

As it is known, practical test-functions [1] are very useful for modeling suddenly emerging phenomena. By this study we are trying to use some specific features of these functions for modeling aspects connected with transitions from a certain steady-state to another, with emphasis on he use of short range alternating functions. The use of such short range alternating functions is required by the fact that in modern physics (quantum physics) all transitions imply the use of certain quantum particles (field quantization) described using associated frequencies for their energy. Due to this reason, a connection between a wave interpretation of transitions (based on continuous functions0 and corpuscle interpretation of transitions (involving creation and annihilation of certain quantum particles) should be performed using certain oscillations defined on a limited time interval corresponding to the transition from one steady-state to another.

Keywords

transitions test functions short range phenomena 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Toma, G.: Practical test-functions generated by computer algorithms. In: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganá, A., Lee, H.P., Mun, Y., Taniar, D., Tan, C.J.K. (eds.) ICCSA 2005. LNCS, vol. 3482, pp. 576–584. Springer, Heidelberg (2005)Google Scholar
  2. 2.
    Toma, C.: The advantages of presenting special relativity using modern concepts. Balkan Physics Letters (Suppl. 5), 2334–2337 (1997)Google Scholar
  3. 3.
    D’Avenia, P., Fortunato, D., Pisani, L.: Topological solitary waves with arbitrary charge and the electromagnetic field. Differential Integral Equations 16, 587–604 (2003)MATHMathSciNetGoogle Scholar
  4. 4.
    Cattani, C.: Harmonic Wavelets towards Solution of Nonlinear PDE. Computers and Mathematics with Applications 50, 1191–1210 (2005)MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Toma, C.: An extension of the notion of observability at filtering and sampling devices. In: Proceedings of the International Symposium on Signals, Circuits and Systems Iasi SCS 2001, Romania, pp. 233–236 (2001)Google Scholar
  6. 6.
    Rushchitsky, J.J., Cattani, C., Terletskaya, E.V.: Wavelet Analysis of the evolution of a solitary wave in a composite material. International Applied Mechanics 40(3), 311–318 (2004)CrossRefGoogle Scholar
  7. 7.
    Toma, C.: The possibility of appearing acausal pulses as solutions of the wave equation. The Hyperion Scientific Journal 4(1), 25–28 (2004)MathSciNetGoogle Scholar
  8. 8.
    Cattani, C.: Harmonic Wavelet Solutions of the Schroedinger Equation. International Journal of Fluid Mechanics Research 5, 1–10 (2003)Google Scholar
  9. 9.
    Toma, A., Pusca, S., Morarescu, C.: Spatial Aspects of Interaction Between High-Energy Pulses and Waves Considered as Suddenly Emerging Phenomena. In: Gavrilova, M.L., Gervasi, O., Kumar, V., Tan, C.J.K., Taniar, D., Laganá, A., Mun, Y., Choo, H. (eds.) ICCSA 2006. LNCS, vol. 3980, pp. 839–846. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  10. 10.
    Toma, T., Pusca, S., Morarescu, C.: Simulating Superradiant Laser Pulses Using Partial Fraction Decomposition and Derivative Procedures. In: Gavrilova, M.L., Gervasi, O., Kumar, V., Tan, C.J.K., Taniar, D., Laganá, A., Mun, Y., Choo, H. (eds.) ICCSA 2006. LNCS, vol. 3980, pp. 771–778. Springer, Heidelberg (2006)CrossRefGoogle Scholar

Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Stefan Pusca
    • 1
  1. 1.Politehnica University, Department of Applied Sciences, BucharestRomania

Personalised recommendations