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**Physics Note****Published**

# **On the quantization of constrained generalized dynamics**

**C. A. P. Galvão; N. A. Lemos**

1987

[**Download PDF **0.5 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb7b3/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=On%20the%20quantization%20of%20constrained%20generalized%20dynamics)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>C. A. P. Galvão; N. A. Lemos</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1987</dd>

<dt>Description</dt>
<dd>A special class of degenerate second order Lagrangians, those which differ from a nondegenerate first order Lagrangian by a total time derivative (or a four divergence) of a function of both the coordinates and velocities, is studied in detail. Using Dirac's theory of constrained systems, we show that the canonical quantization starting from the second order Lagrangian leads to the same physical results as those obtained from the nondegenerate first order Lagrangian. We thus clarify some incorrect results and misleading arguments encountered in the literature on the subject.</dd>

<dt>Year</dt>
<dd>1987</dd>

<dt>Number</dt>
<dd>CBPF-NF-060/87</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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