How to use inheritance in Managedbeans?

Question

Considering:

public abstract class Usuario {
    public Usuario(String login, String senha) {
        this.login = login;
        this.senha = senha;
    }
    private String login;
    private String senha;
}
public class Professor extends Usuario {
    public Professor(String login, String senha, String cpf) {
        super(login, senha);
        this.cpf = cpf;
    }
    private String cpf;
}
public class Aluno extends Usuario {
    public Aluno(String login, String senha, String matricula) {
        super(login, senha);
        this.matricula = matricula;
    }
    private String matricula;
}

How could I turn the above subclasses into ManagedBeans and how would I pass the values from the view to the attributes of the superclass? I know if I just put the annotation @ManagedBean in the subclasses will not work.

The main reason for this is that both the teacher and the student will log into the same form and filter (javax.servlet.Filter) needs to receive a Usuario to avoid boilerplates in the filter itself and in the subclasses, with repetition of attributes.

public void doFilter(ServletRequest request, ServletResponse response, FilterChain chain) throws IOException, ServletException {
   Usuario u = (Usuario)((HttpServletRequest)request).getSession().getAttribute("usuario");
    if (usuario != null && usuario.isAutorizado()) {
        chain.doFilter(request, response);
    }
    else {
        String contextPath = ((HttpServletRequest)request).getContextPath();
        ((HttpServletResponse)response).sendRedirect(contextPath + "login.jsf");
    }
}