Problem/QFT-01

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  1. Write the Lagrangian for free Schrodinger field and obtain an expression for the Hamiltonian.
  2. Using the Poisson bracket form of equations of motion show that the Galilean boost \[\int d^3 x\psi^\dagger (m~x+ it \hbar \nabla)\psi,\] is a conserved quantity. How do you interpret this conservation law?

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Proofs Warehouse II :: Problems

Mathematical Physics

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This is a repository of problems in all areas of Physics.  It is updated at regular intervals.The problems are arranged in a tree hierarchy of areas of Physics. Within each area the problems are arranged according to  topics in a given area. Problems in a topic of an area can be reached by expanding the Table of Contents. 

Teachers will find it useful in designing homework sheets, test and examination papers.

 


 

This  page has links to Short Questions and Problems in all areas.
The questions are not arranged according to any taxonomy.
They come in the order in which they were added.
An attempt to classify and make the repository more useful is planned and will be taken up separetely at a later stage.

Not every question and every  problems is claimed to be originial. Many of them have been collected over decades for teaching puposes and their source cannot be traced. Where ever source is known it is acknowldeged with link to detailed reference, if available.  In many cases the 'source'  does mean the orginal source, most the time it is simply the source where I found the problem first. List, a growing one,  of all such sources can be found here.


 

 

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