PT symmetry as a necessary and sufficient condition for unitary time
... We note that as defined in (1.6), the operator V depends on the Hamiltonian. Thus, unlike the standard Dirac norm Rj (t)|Ri (t), the Rj (t)|V|Ri (t) norm cannot be preassigned, with it being dynamically determined by the Hamiltonian itself.2 In addition, we note that for any Hamiltonian that doe ...
... We note that as defined in (1.6), the operator V depends on the Hamiltonian. Thus, unlike the standard Dirac norm Rj (t)|Ri (t), the Rj (t)|V|Ri (t) norm cannot be preassigned, with it being dynamically determined by the Hamiltonian itself.2 In addition, we note that for any Hamiltonian that doe ...
5. Solving Linear Congruences
... (1) If linear congruence ax ≡ b (mod n) has a solution, then there are always infinitely many solutions, because if x0 is a solution, then x0 + kn is also a solution for any integer k. By mod n, we can always assume that 0 ≤ x0 ≤ n − 1. In other words, the solution of a linear congruence ax ≡ b (mod ...
... (1) If linear congruence ax ≡ b (mod n) has a solution, then there are always infinitely many solutions, because if x0 is a solution, then x0 + kn is also a solution for any integer k. By mod n, we can always assume that 0 ≤ x0 ≤ n − 1. In other words, the solution of a linear congruence ax ≡ b (mod ...
![arXiv:1312.4758v2 [quant-ph] 10 Apr 2014](http://s1.studyres.com/store/data/021352507_1-d587dd4045ccae4ae6a47bb17173f358-300x300.png)
