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### Problem-QFT-05001

Starting from the Lagrangian for a complex scalar field obtain the Hamiltonian for a free complex Klein Gordon field.
Write ETCR and for the quantized field prove that \label{EQ01}
\big[H, \pi(x)\big] = - i \big( \nabla^2- \mu^2\big) \phi^*(x) .
Does relation,\eqref{EQ01}, hold only as equal time commutator or does it hold for  $$H$$ and $$\pi(x)$$ at arbitrary different times ?  Explain your answer.
Use \eqref{EQ01} to derive the usual Euler Lagrange equation of motion for the Klein Gordon field.

kapoor 22/10/18

### Lectures-EM-12 Maxwell's Equations in Relativistic Notation

Summary (or abstract) not available for this node.
kapoor 22/10/18

### Lectures-EM-12 Potentials as Four Vectors

Summary (or abstract) not available for this node.
kapoor 22/10/18

### Lectures-EM-12 :: Relativistic Transformations of Fields

Summary (or abstract) not available for this node.
kapoor 22/10/18

### EM-12 :: Lecture Notes

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kapoor 22/10/18

### Lectures-QM-33 Non-Relativisic Limit of Position Operators in Quantum Mechanics

Summary (or abstract) not available for this node.
kapoor 22/10/18

### Lectures-QFT-04 Physical Interpretation

Summary (or abstract) not available for this node.
kapoor 22/10/18

### Lectures-QFT-04 Second Quantization of Schrodinger Equation

Summary (or abstract) not available for this node.
kapoor 22/10/18

### Lectures-QFT-01 Hamiltonian Formulation of Classical Fields

Summary (or abstract) not available for this node.
kapoor 22/10/18

### QFT-04 :: Secoond Quantization

Summary (or abstract) not available for this node.
kapoor 22/10/18