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Linear Canonical Transformations and Their Unitary Representations

- M. Moshinsky, C. Quesne
- Mathematics
- 1 August 1971

We show that the group of linear canonical transformations in a 2N‐dimensional phase space is the real symplectic group Sp(2N), and discuss its unitary representation in quantum mechanics when the N… Expand

Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry

- C. Quesne
- Mathematics
- 25 July 2008

We construct two new exactly solvable potentials giving rise to bound-state solutions to the Schrodinger equation, which can be written in terms of the recently introduced Laguerre- or Jacobi-type X1… Expand

Revisiting (quasi-)exactly solvable rational extensions of the Morse potential

- C. Quesne
- Mathematics, Physics
- 8 March 2012

The construction of rationally-extended Morse potentials is analyzed in the framework of first-order supersymmetric quantum mechanics. The known family of extended potentials $V_{A,B,{\rm ext}}(x)$,… Expand

EXCHANGE OPERATOR FORMALISM FOR AN INFINITE FAMILY OF SOLVABLE AND INTEGRABLE QUANTUM SYSTEMS ON A PLANE

- C. Quesne
- Mathematics
- 12 October 2009

The exchange operator formalism in polar coordinates, previously considered for the Calogero–Marchioro–Wolfes problem, is generalized to a recently introduced, infinite family of exactly solvable and… Expand

A PT-symmetric QES partner to the Khare-Mandal potential with real eigenvalues

- B. Bagchi, S. Mallik, C. Quesne, R. Roychoudhury
- Physics
- 8 October 2001

Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass

- B. Bagchi, A. Banerjee, C. Quesne, V. Tkachuk
- Physics
- 2 December 2004

Known shape-invariant potentials for the constant-mass Schrodinger equation are taken as effective potentials in a position-dependent effective mass (PDEM) one. The corresponding shape-invariance… Expand

Bohr Hamiltonian with deformation-dependent mass term for the Davidson potential

- D. Bonatsos, P. Georgoudis, D. Lenis, N. Minkov, C. Quesne
- Physics
- 30 March 2011

Dennis Bonatsos, P. E. Georgoudis, D. Lenis, N. Minkov, and C. Quesne Institute of Nuclear Physics, National Centre for Scientific Research “Demokritos”, GR-15310 Aghia Paraskevi, Attiki, Greece… Expand

Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics

- C. Quesne
- Mathematics
- 12 June 2009

New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the… Expand

Canonical Transformations and Matrix Elements

- C. Quesne, M. Moshinsky
- Mathematics
- 1971

We use the ideas on linear canonical transformations developed previously to calculate the matrix elements of the multipole operators between single‐particle states in a three‐dimensional oscillator… Expand

Extending Romanovski polynomials in quantum mechanics

- C. Quesne
- Mathematics
- 9 August 2013

Some extensions of the (third-class) Romanovski polynomials (also called Romanovski/pseudo-Jacobi polynomials), which appear in bound-state wavefunctions of rationally-extended Scarf II and… Expand

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