Let me explain briefly why I chose this subject. Firstly, I believe that everything we do have a Mathematical explanation, whether they are calculated or not. Second, I love complex equations especially when its too complex..equations and the like are the exercises I love for my brain and I never get frustrated despite going too much into it coz something like this can give me headaches at times yet satisfying when explored, I’ve never complained about it when I’m done….herewith is the first of many others that I read about the subject..
Reality as Described by Quantum Mechanics
These waves manifest as what we have been taught to call matter, energy, particles, and/or waves when observed.
These probability waves overlap and continue forever. The interactions between different entities constitute a single structure of linked wave patterns, so that the entire universe can be thought of as an unbroken whole. The waves form a matrix, with all parts of the system affecting all other parts. Non-local relationships exist between parts of the system that are distant from each other. It is impossible to distinguish two particles of the same type in a region of space in which they may be found simultaneously. Particles loose their individual identity in such regions. Thus, the physical universe is fundamentally unified.
The basic equation of non-relativistic quantum mechanics is Schrodinger’s Wave Equation:
i h (p)Q /(p)t = – h /2m Delta Q + V(x,y,z) Q
satisfying the normalizing condition:
over all |Q| dx dy dx = 1space
h = 6.63E-34 joule sec / (2 pi)
pi = 3.14…
V(x,y,z) = Potential energy, as a function of oordinates x, y and z
m = Mass
t = Time
(p) = Partial derivative of 2
Q = Wave function of the particle, where Q dx dy dz is the probability that the particle may be found in the volume element dx dy dz at a particular time. Values of Q are components of the “state vector.”
Values of Q are quantum mechanically defined states and constitute components of the “state vector.” These quantum mechanically defined states define the probabilities of various results from quantum mechanically defined interactions. In one orthodox interpretation of quantum mechanics, a system exists simultaneously in all quantum mechanically possible states until an observer (or apparatus outside the system) interacts to “collapse” the state vector” and obtain an observation.
Quantum mechanical systems can go from one configuration to another instantly, without passing through any states in between. Quantum mechanical movement is discontinuous, with all actions occurring in discrete amounts (quanta).
Schrodinger himself discovered one of quantum mechanics’ more distinctive features: whenever two systems interact, the mathematical waves that represent the two systems do not separate but remain linked. The link does not drop off with distance and the link acts instantaneously at both locations, but the specificity of the link can be diluted through interactions with other objects.