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title: "Snyder Noncommutativity and Pseudo-Hermitian Hamiltonians from a Jordanian Twist • CBPF Index"
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**Physics Note****Published**

# **Snyder Noncommutativity and Pseudo-Hermitian Hamiltonians from a Jordanian Twist**

**Ricardo Kullock; P. G. Castro**

05/31/2011

[**Download PDF **0.3 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb55e/pdf) [**Contact owner**](mailto:toppan@cbpf.br?subject=Snyder%20Noncommutativity%20and%20Pseudo-Hermitian%20Hamiltonians%20from%20a%20Jordanian%20Twist)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>Ricardo Kullock; P. G. Castro</dd>

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

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

<dt>Publication date</dt>
<dd>31/05/2011</dd>

<dt>Description</dt>
<dd>Nonrelativistic quantum mechanics and conformal quantum mechanics are deformed through a Jordanian twist. The deformed space coordinates satisfy the Snyder noncommutativity. The resulting deformed Hamiltonians are pseudo-Hermitian Hamiltonians of the type discussed by Mostafazadeh.\par The quantization scheme makes use of the so-called ``unfolded formalism" discussed in previous works. A Hopf algebra structure, compatible with the physical interpretation of the coproduct, is introduced for the Universal Enveloping Algebra of a suitably chosen dynamical Lie algebra (the Hamiltonian is contained among its generators).\par The multi-particle sector, uniquely determined by the deformed $2$-particle Hamiltonian, is composed of bosonic particles.</dd>

<dt>Year</dt>
<dd>2011</dd>

<dt>Number</dt>
<dd>CBPF-NF-006/11</dd>

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

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

</dl>

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