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topic:qm:postulates [2023/01/19 01:22] samueltopic:qm:postulates [2023/02/15 18:26] (current) samuel
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 The system is completely described by its state vector, which is a unit vector in the system’s state space. The system is completely described by its state vector, which is a unit vector in the system’s state space.
  
-**2.** The evolution of a closed quantum system is described by a unitary transformation. +**2.** The evolution of a closed quantum system is described by a [[topic:math:linalg:operator|unitary]] transformation. 
 That is, the state $\ket{\psi}$ of the system at time t1 is related to the state $\ket{\psi'}$ of the system at time t2 by a unitary operator U which depends only on the times t1 and t2, $\ket{\psi'} = U \ket{\psi}$ That is, the state $\ket{\psi}$ of the system at time t1 is related to the state $\ket{\psi'}$ of the system at time t2 by a unitary operator U which depends only on the times t1 and t2, $\ket{\psi'} = U \ket{\psi}$
  
topic/qm/postulates.1674091363.txt.gz · Last modified: by samuel