Linked Questions

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1answer
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Finding particles in the classically forbidden regions [duplicate]

Have particles ever been found in the classically forbidden regions of potentials? For example, in a square well: has an experiment been able to find an electron outside the rectangular well (i.e. in ...
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2answers
2k views

Quantum mechanics potential barrier problem [duplicate]

While reviewing some quantum mechanics, I cam across a very interesting situation. For a potential barrier, if a particle has an energy $E$ less than the potential barrier $V_0$, it is possible to ...
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1answer
349 views

Meaning of wave function which is in inside of the potential wall? [duplicate]

In particle in square potential barrier problem, we can easily find that some probabilities exist which express how many particles can go beyond of the potential wall. So my question is that, can we ...
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2answers
80 views

What happens if particle is measured outside finite well? [duplicate]

A particle, which is in bound state (and eigenstate) of a finite well, has a small probability of being found just outside the well. If one happens to locate it there, then to the experimenter how ...
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1answer
32 views

When an electron tunnels through a barrier, where would it be found when measured? [duplicate]

When an electron with E < V approaches a step in potential energy, the wave function will exponentially decay at the step, meaning there is still a finite possibility of the electron being found at ...
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0answers
13 views

How particles can be found in classically forbidden regions? [duplicate]

If the total energy of the particle is less than the height of potential well. What could be interpretation that the particle can be found outside the well.
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2answers
4k views

What is the kinetic energy of a quantum particle in forbidden region?

I have read that if a particle is trapped in a finite potential well, it has a finite chance to tunnel out from it. Therefore, one can find a particle in a region where its potential energy is greater ...
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4answers
1k views

Where is the particle during a tunneling event?

If, say, a particle with energy $E<V_0$, approaches a finite potential barrier with height $V_0$, and happens to tunnel through, where would the particle be during the time period when it is to the ...
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3answers
1k views

What happens with a tunneling particle when its momentum is imaginary in QM?

In classical mechanics the motion of a particle is bounded if it is trapped in a potential well. In quantum mechanics this is no longer the case and there is a non zero probability of the particle to ...
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2answers
934 views

Extra energy in quantum tunneling

In quantum tunneling, the probability of finding an electron inside the potential barrier is non zero . So we can actually find an electron which had an energy $E$ in a place where classically it ...
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2answers
162 views

Conservation of energy in quantum tunneling

By this question, a particle can tunnel to inside a potential barrier. One aspect of this process that was not addressed in the answers was the conservation of energy. Motivated by this question, I am ...
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1answer
123 views

Quantum Tunneling and Conservation of Energy

According to my understanding quantum mechanics, the probability of any particular particle in the universe being at any specific location in the universe is very small but never actually becomes zero....
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2answers
196 views

What is in physical term meaning of penetration of a potential barrier?

While solving the quantum mechanical case of potential barrier meaning - $$\text{E} <\text{V} $$ The transmission coefficient is nonzero. My problem is what is happening with particle motion Has ...
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1answer
90 views

What happens if we detect an electron in a place with higher potential than the wavefunction has energy?

A wavefunction has a particular energy and is spread over space. For example, an electron in the ground state (n=1) in hydrogen has an energy of -13.6 eV, but its possible that we measure the ...
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4answers
84 views

Question about interpreting probabilities in QM [duplicate]

For the example of an infinite square well, $\psi(x)=0$ for $x$ outside the well/interval, and we are to interpret this as the particle cannot be found outside the well because $|\Psi(x,t)\bar{\Psi}(x,...

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