superposition principle    پروز ِ برهمنهش     parvaz-e barhamneheš 
 Fr.: principe de superposition    1) Math.: The principle concerned with homogeneous and 
non-homogeneous  → linear differential equations, 
stating that two or more solutions to a linear equation or set of linear equations can be added 
together so that their sum is also a solution.  
2) One of the most fundamental principles of → quantum mechanics 
which distinctly marks the departure from classical concepts. It holds that 
any linear superposition of  → wave functions is also a 
possible wave function. Simply put, the state of an object is all its possible 
states simultaneously, as long as we do not look to check. It is the 
measurement itself that causes the object to be limited to a single 
possibility. The superposition principle is rooted in the linearity of 
→ Schrödinger's equation. Hence if two solutions of the wave 
function, ψ1 and ψ2, are known, other solutions, of the form: 
ψ = a1ψ1 + a2ψ2 
also represent possible states of the system. → superposition; → principle.  |