Solve Schrödinger's Wave Function Equation: Explained

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Schrödinger's equation is a fundamental equation in quantum mechanics that describes how the quantum state of a physical system changes over time. It includes variables such as the wave function, potential energy, and the Hamiltonian operator, which represents the total energy of the system. The equation is crucial for predicting the behavior of particles at the quantum level. Understanding each component is essential for applying the equation effectively in various scenarios. For further clarification, users are encouraged to explore the provided HyperPhysics link and ask specific questions.
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Could someone please explain Schrödinger's equation and what each letter in it represents and how to apply it? Thank you
 
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Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
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