Quantum Mechanics Doubt

[ADITYA KUMAR Shukla]

Hi friends.

Please Explain what is the meaning of "Localized particle" in Quantum mechanics

thank & regards.

Aditya

ISM dhanbad.

[Manoj Kishor Pradhan]

Dear aditya, loclized particle means that the probability of finding a particle within certain region is maximum and it is described by a wave packet.

suppose u hav a quantum particle whose motion ur r describig with wave function.If u the probability of finding that in one room is more then probability of finding that is less in other room.If that probability of finding is always constnt in a specified

 region then it is said to be localized.
  

This is what i mean by localized particle.For more info refer N.Zetille quantum mechanics for ur clear understanding.

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[ADITYA KUMAR Shukla]

Thank You to all making me clear.

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[Simranjit Singh]

i have been from a month to understand principle of quantum mechanical operator .

but couldn't in a better way.

so if you can help in doing so.??

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[Jivesh Kaushal]

Felt like I could contribute a little to this discussion as well. The basic idea of QM is to replace the classical concept of state variables like "path" and "velocity", with an abstract state vector that lives in the Hilbert space.

All the information that can be known about a system is in this state vector called the ket. The classical variables then become an after-effect, something that are a result of some experimental procedure on the quantum system. When we have arranged an apparatus to, say, measure the position of an electron, we are effectively trying to "operate" on the quantum state of the electron. So the position and momentum take on the role of operators acting on the system.

This explanation is to only give you an intuitive feeling of the idea. There is, of course, rigorous mathematical formalism behind the whole idea. Heisenberg's original approach was to construct a theory that relies only on the observables of the system, which are known from experiments. So he abandoned the idea of orbits in an atom right from the beginning. The result was an electron without any concept of path defined for it, in the atom. Instead, the closest classical analogue is the electron possessing a distribution of all potential paths it may take. Mathematically, this was realisable by defining the classical variables as operators.

[jee van]

QM is that simple sub. According to uncert prin we cant find the posi and momen of a microscopic particle.. so in a given space we are calculating the probability of an event. Means prob to find position or momentum or energy or any such OPERATOR .. like when we operate energy OPERATOR to a wave fn , we will get the energy of that particle. Or momentum OPERATOR gives momentum of that particle... I think u understood the base.. Introduction to QM by griffith is a good book for the study...

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From: Jivesh Kaushal <jives...@gmail.com>;
To: <phys...@googlegroups.com>;
Subject: Re: [Physics43 Group] Quantum Mechanics Doubt
Sent: Thu, Apr 2, 2015 7:15:37 PM

[Jivesh Kaushal]

I second the suggestion for Griffith's books. He has a whole series of Introductory Physics textbooks aimed at undergraduate students/beginners.