How to prove <p> of stationary state = 0

Thread starter phys_student
Start date Nov 14, 2012
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In summary, stationary state is a state in which a system remains unchanged over time, with properties such as energy staying constant. If the stationary state has a value of 0, it means the system is in equilibrium with no net change or movement. To prove this, mathematical equations can be used. The stationary state can be affected by external forces, energy input, and the nature of the system. It is possible for the stationary state to be non-zero if there is a net change or movement occurring within the system or if the system is not in equilibrium.

Nov 14, 2012

phys_student

1. How do I prove <p> of the stationary states of H=(-hbar/2m)d2/dx2 + V(x) is zero?

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Nov 14, 2012

dextercioby

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That's of course not true, you can however show that its time derivative is 0, i.e. <p> is time independent.

1. How do you define stationary state?

Stationary state is a state in which a system remains unchanged over time. In other words, its properties, such as energy, remain constant and do not vary with time.

2. What does it mean for the stationary state to have a value of 0?

If the stationary state has a value of 0, it means that the system is in a state of equilibrium, with no net change or movement occurring.

3. How can you prove that the stationary state of a system is 0?

To prove that the stationary state of a system is 0, one can use mathematical equations and calculations to show that the system is in a state of equilibrium and that its properties are constant over time.

4. What factors can affect the stationary state of a system?

The stationary state of a system can be affected by various factors, such as external forces, energy input, and the nature of the system itself.

5. Can the stationary state of a system ever be non-zero?

Yes, the stationary state of a system can be non-zero if there is a net change or movement occurring within the system, or if the system is not in a state of equilibrium.