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title: "Hidden Symmetries in One-Dimensional Quantum Hamiltonians • CBPF Index"
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**Physics Note****Published**

# **Hidden Symmetries in One-Dimensional Quantum Hamiltonians**

**E. M. F. Curado; Marco Aurélio do Rego Monteiro; H. N. Nazareno**

2000

[**Download PDF **0.1 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb3e5/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Hidden%20Symmetries%20in%20One-Dimensional%20Quantum%20Hamiltonians)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>E. M. F. Curado; Marco Aurélio do Rego Monteiro; H. N. Nazareno</dd>

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

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

<dt>Publication date</dt>
<dd>2000</dd>

<dt>Description</dt>
<dd>We construct a Heisenberg-like algebra for the one dimensional infinite square-well potential in quantum mechanics. The number-type and ladder operators are realized in terms of physical operators of the system as in the harmonic oscillator algebra. These physical operators are obtained with the help of variables used in a recently developed non commutative differential calculus. This "square-well algebra" is an example of an algebra in a large class of generalized Heisenberg algebras recently constructed. This class of algebras also contains q-oscillators as a particular case. We also show here how this general algebra can address hidden symmetries present in several quantum systems.</dd>

<dt>Year</dt>
<dd>2000</dd>

<dt>Number</dt>
<dd>CBPF-NF-073/00</dd>

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

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

</dl>

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