  Simply speaking quantum Zeno effect for an unstable quantum system represents
total decay probability decrease by frequent decay detection. Analogously
simply speaking quantum anti-Zeno effect for an unstable quantum system
represents total no-decay probability decrease by frequent decay detection.
Also, some authors considered optical, i.e. polarization detection analogy of
quantum Zeno and anti-Zeno effects. In this work we consider basic standard
quantum mechanical concepts in quantum Zeno and anti-Zeno effect. We use
simplest (Malus law) form of mentioned ideas on the photon polarization
detection analogy of quantum Zeno and anti-Zeno effects and we suggest some new
situations (non-equivalent time duration of the quantum dynamical evolution
between different frequent detection). Correspondingly we define new quantum
effects, quantum Hamlet effect (when, by frequent detection, final total
polarization angle and state converge but total probability for appearance of
this state diverges) and quantum anti-Hamlet effect (when, by frequent
detection, final total polarization angle and state diverge but total
probability for appearance of this state converges). Also, we consider a rough
classical mechanical analogy of Zeno effect. Finally we consider frequent
interference of single photon at beam splitters and obtain for different values
of reflection and transmission coefficients analogies of quantum Zeno and
anti-Zeno effect as well as analogy of usual exponentially decreasing decay
law.
