Joan Achieng Abok

Student’s Name Professor’s Name Course Date Philosophers Statement The ingenuity of science and its efficacy in the societal development has long been cited to be in its ability to change every second with every experiment conducted presenting contrary results which are in every bit consonant with the opined theory. The caveat formed by previous researchers that similar conditions always produces similar results is one which lacks a symbolic key line. This thesis presents an analysis on whether the theorization of same conditions equals same results has a sure footing with key summations being indicative of the fact more research is needed to explain the vague concept. Quantum mechanics and the wave function have been used by an autonomous collective of researchers in the demonstration of how a collection of waves each with discernible frequencies and amplitudes can act like particles[ CITATION Qua18 \l 1033 ]. From the chapter presented, it was duly noted that despite the fact that the particle existed inside the box and the normalization condition ensured that the conditions were similar, the wave function recorded a discontinuous jump from to owing to the inherent boundary conditions. Imposing the boundary conditions did not in any way help in the normalization and determination of the proper solution for every different situational state[ CITATION Sci18 \l 1033 ]. In order to ensure that the aforementioned statement is true, the general solution would be the linear combination of the cosine and sine functions in the equation. The consonants of A and B will then be equated from the normalization and boundary conditions which are all standardized in the sinusoidal wave function[ CITATION Qua18 \l 1033 ]. Keynotes have to be drawn on the fact that the expectation value of the position of the waves will be derived from efficiently combining the aforementioned functions. This will go a long way in helping legitimize the efficacy of the aforementioned statement. Works Cited Quantum Mechanics and the Wave Function. 2018. Science Daily. Wave-particle duality. 18 October 2018 .