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The Schrödinger equation with the $\text{sech}^2$ potential was first studied by Epstein in 1930 [1]. There is an extensive literature on this exactly solvable case. Two recent references are [2,3]. A special feature of this potential is that it is reflectionless, it admits unit transmission at all energies. For that reason it has also found many real-world applications, in particular in photonics.

It is sometimes called the Pöschl–Teller potential, although Epstein came earlier.

1. P.S. Epstein, Reflection of waves in an inhomogeneous absorbing medium (1930).
2. J. Lekner, Reflectionless eigenstates of the $\text{sech}^2$ potential (2007).
3. C.S. Park, Transmission time of a particle in the reflectionless sech-squared potential (2011).

The Schrödinger equation with the $\text{sech}^2$ potential (sometimes called the Pöschl–Teller potential) was first studied by Epstein in 1930 [1]. There is an extensive literature on this exactly solvable case. Two recent references are [2,3]. A special feature of this potential is that it is reflectionless, it admits unit transmission at all energies. For that reason it has also found many real-world applications, in particular in photonics.

1. P.S. Epstein, Reflection of waves in an inhomogeneous absorbing medium (1930).
2. J. Lekner, Reflectionless eigenstates of the $\text{sech}^2$ potential (2007).
3. C.S. Park, Transmission time of a particle in the reflectionless sech-squared potential (2011).

The Schrödinger equation with the $\text{sech}^2$ potential was first studied by Epstein in 1930 [1]. There is an extensive literature on this exactly solvable case. Two recent references are [2,3]. A special feature of this potential is that it is reflectionless, it admits unit transmission at all energies. For that reason it has also found many real-world applications, in particular in photonics.

1. P.S. Epstein, Reflection of waves in an inhomogeneous absorbing medium (1930).
2. J. Lekner, Reflectionless eigenstates of the $\text{sech}^2$ potential (2007).
3. C.S. Park, Transmission time of a particle in the reflectionless sech-squared potential (2011).

The Schrödinger equation with the $\text{sech}^2$ potential was first studied by Epstein in 1930 [1]. There is an extensive literature on this exactly solvable case. Two recent references are [2,3]. A special feature of this potential is that it is reflectionless, it admits unit transmission at all energies. For that reason it has also found many real-world applications, in particular in photonics.

It is sometimes called the Pöschl–Teller potential, although Epstein came earlier.

1. P.S. Epstein, Reflection of waves in an inhomogeneous absorbing medium (1930).
2. J. Lekner, Reflectionless eigenstates of the $\text{sech}^2$ potential (2007).
3. C.S. Park, Transmission time of a particle in the reflectionless sech-squared potential (2011).

The Schrödinger equation with the $\text{sech}^2$ was first studied by Epstein in 1930 [1]. There is an extensive literature on this exactly solvable case. A recent reference is [2]. The special feature of this potential is that it is reflectionless, it admits unit transmission at all energies. For that reason it has also found many real-world applications.

[1] P.S. Epstein, Reflection of waves in an inhomogeneous absorbing me- dium (1930).
[2] J. Lekner, Reflectionless eigenstates of the $\text{sech}^2$ potential (2007).

The Schrödinger equation with the $\text{sech}^2$ potential was first studied by Epstein in 1930 [1]. There is an extensive literature on this exactly solvable case. Two recent references are [2,3]. A special feature of this potential is that it is reflectionless, it admits unit transmission at all energies. For that reason it has also found many real-world applications, in particular in photonics.

1. P.S. Epstein, Reflection of waves in an inhomogeneous absorbing medium (1930).
2. J. Lekner, Reflectionless eigenstates of the $\text{sech}^2$ potential (2007).
3. C.S. Park, Transmission time of a particle in the reflectionless sech-squared potential (2011).