Time – Symmetric Quantum Mechanics

The time – symmetrized quantum theory was developed by Aharonov, Bergmann, and Lebowitz in 1964 [1]. Quantum mechanics allows us to select not only the initial but also the final state of a single system. This type of pre –  and postselection leads to several new ideas about what time is and how it flows.  Weak measurements and weak values are consequences of time – symmetric formulation [2], [3]. In this project, after learning basic principles of time – symmetrized quantum mechanics, some applications of weak values will be studied [4].
 
[1] Y. Aharonov, P. G. Bergmann, and J. L. Lebowitz, Physical Review B134, 1410 (1964).
[2] Y. Aharonov, D. Albert, and L. Vaidman, Physical Review Letters 60, 1351 (1988).
[3] Y. Aharonov, S. Popoescu, and J, Tollaksen, Physics Today 63, 27 (2010).
[4] Z. Gedik, Journal of Physics A: Mathematical and Theoretical 54, 405301 (2021).