Just wondering if anyone can help me understand the basic principle of quantum theory.
De Broglie's equation allows one calculate the wave length of the physical object, following the fundamental wave-particle duality of quantum theory.
$\lambda = h/mv$
Since velocity $v$ is always relative to the reference frame of observer, does it imply that the wave property is not inherent but displays itself differently to different observers?
If you want to think about how the wavelike behaviour varies by reference frame, it's more helpful to work with the wavevector $\mathbf{k}=\hbar^{-1}\mathbf{p}$ where $\hbar=h/(2\pi),\,k=2\pi/\lambda$. Extending from 3-vectors to special relativity's 4-vectors, you can even write $k^\mu=\hbar^{-1}p^\mu$, showing light is also affected. (Changing reference frame alters a photon's momentum and energy, albeit not its speed, so also changes the wavevector and frequency). General relativity shows gravity can also have this effect (see here).
