SwingWorker结束,PropertyChangeListener监听,但我如何回到EDT？

SwingWorker worker = new SwingWorker() {
    @Override
    protected Object doInBackground() throws Exception {
        // 执行耗时操作
        Thread.sleep(2000);
        return null;
    }

    @Override
    protected void done() {
        super.done();
        // 触发结果事件
        try {
            Object result = get();
            if (result != null) {
                JOptionPane.showMessageDialog(null, result.toString(), "Result", JOptionPane.INFORMATION_MESSAGE);
            }
        } catch (InterruptedException e) {
            e.printStackTrace();
        }
    }
};
worker.addPropertyChangeListener(new PropertyChangeListener() {
    @Override
    public void propertyChange(PropertyChangeEvent evt) {
        if ("state".equals(evt.getPropertyName())) {
            if (SwingWorker.StateValue.DONE.equals(evt.getNewValue())) {
                // 处理结果事件
                try {
                    Object result = get();
                    if (result != null) {
                        JOptionPane.showMessageDialog(null, result.toString(), "Result", JOptionPane.INFORMATION_MESSAGE);
                    }
                } catch (InterruptedException e) {
                    e.printStackTrace();
                }
            }
        }
    }
});