New physical wavelet 'Gaussian Wave Packet'

Details New physical wavelet 'Gaussian Wave Packet' New physical wavelet 'Gaussian Wave Packet'

2007-01-18

arxiv.org/abs/math-ph/0701051v3

J. Phys. A: Math. Theor. 40 (2007) 3441-3461, http://stacks.iop.org/1751-8121/40/3441

Physics

Mathematical Physics

31 pages, 9 figures, submitted to J. Phys. A: Math. Theor

Scientific paper

An exact solution of the homogeneous wave equation, which was found previously, is treated from the point of view of continuous wavelet analysis (CWA). If time is a fixed parameter, the solution represents a new multidimensional mother wavelet for the CWA. Both the wavelet and its Fourier transform are given by explicit formulas and are exponentially localized. The wavelet is directional. The widths of the wavelet and the uncertainty relation are investigated numerically. If a certain parameter is large, the wavelet behaves asymptotically as the Morlet wavelet. The solution is a new physical wavelet in the definition of Kaiser, it may be interpreted as a sum of two parts: an advanced and a retarded part, both being fields of a pulsed point source moving at a speed of wave propagation along a straight line in complex space-time.

Affiliated with

Also associated with

No associations

Rating

New physical wavelet 'Gaussian Wave Packet' does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New physical wavelet 'Gaussian Wave Packet', we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New physical wavelet 'Gaussian Wave Packet' will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-261671