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drop_out_kid
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- Homework Statement
- In the comment section
- Relevant Equations
- Schrodinger equation
So my question is.. Is schrodinger equation for this problem like this?:
How to use the condition that E=0?
Thank you
Exactly. And I solve it as this:vela said:The time-independent Schrödinger equation is
$$-\frac{\hbar^2}{2m}\psi''(x) + V(x)\psi(x) = E\psi(x).$$ When you set ##E=0##, the righthand side becomes 0.
-1/2kx^2?vela said:I'd expect there should be a constant term as well.
The given wave function is one of the energy eigenstates for the simple harmonic oscillator. What's the potential energy function for the simple harmonic oscillator?
Thank you so much... I am doing it againvela said:##\psi''## should have two terms. Neither term disappears when you divide by ##\psi##.
So yes there's a constant! And I got another question: should I time a sai(t)? I am not familiar with it but I saw that phi(x,t) usually written to phi(x)*sai(t) and sai(t) is usually an exponentialvela said:##\psi''## should have two terms. Neither term disappears when you divide by ##\psi##.
I have no idea of what is a sai(t). But if you are solving the Schrodinger ///non-time-dependent/// equation (the one you posted (missing an E of energy) at the first post) you should not worry with time.drop_out_kid said:So yes there's a constant! And I got another question: should I time a sai(t)? I am not familiar with it but I saw that phi(x,t) usually written to phi(x)*sai(t) and sai(t) is usually an exponential
Yes I think so. Now I got last problem of my assignment and last hour of due, thank you !LCSphysicist said:I have no idea of what is a sai(t). But if you are solving the Schrodinger ///non-time-dependent/// equation (the one you posted (missing an E of energy) at the first post) you should not worry with time.
The Schrodinger equation is a mathematical equation that describes the behavior of quantum particles, such as electrons, in a given system. It takes into account the wave-like nature of particles and is used to determine the probability of finding a particle in a particular state.
The Schrodinger equation is used in many areas of science, including quantum mechanics, chemistry, and materials science. It is used to calculate the energy levels and wave functions of particles, which can then be used to make predictions about their behavior in different systems.
A practice problem with the Schrodinger equation could involve solving for the wave function and energy levels of a particle in a given potential well. This could include calculating the probability of finding the particle at different points in the well and determining its average energy.
The Schrodinger equation has many real-life applications, such as in the development of new materials, understanding the behavior of atoms and molecules, and in the design of electronic devices. It is also used in medical imaging techniques, such as MRI, to study the behavior of particles in the body.
The Schrodinger equation can be challenging to understand, as it involves complex mathematical concepts and deals with the behavior of particles at the quantum level. However, with proper study and practice, it can be understood and applied to various scientific problems.